19. Find the value of $$ x $$ for each of the following proportion. (2 Points) * $$ \frac{24}{x}=\frac{72}{15} $$ 2 9 5 4 20 Find the value of $$ x $$ for each of the following proportion. (2 Points) * $$ \frac{x}{12}=\frac{36}{108} $$ 1 4 7 10

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UpStudy AI · Accepted Answer

Let's solve each proportion step by step.

---

**19. Find the value of $$ x $$ for the proportion:**
$$
\frac{24}{x} = \frac{72}{15}
$$

**Solution:**
1. **Cross-multiply** to solve for $$ x $$:
   $$
   24 \times 15 = 72 \times x
   $$
2. **Calculate the products**:
   $$
   360 = 72x
   $$
3. **Solve for $$ x $$**:
   $$
   x = \frac{360}{72} = 5
   $$

**Answer:** $$ \boxed{5} $$

---

**20. Find the value of $$ x $$ for the proportion:**
$$
\frac{x}{12} = \frac{36}{108}
$$

**Solution:**
1. **Simplify** the right side of the equation:
   $$
   \frac{36}{108} = \frac{1}{3}
   $$
2. **Set up the equation**:
   $$
   \frac{x}{12} = \frac{1}{3}
   $$
3. **Cross-multiply** to solve for $$ x $$:
   $$
   3x = 12 \times 1
   $$
4. **Solve for $$ x $$**:
   $$
   3x = 12 \implies x = \frac{12}{3} = 4
   $$

**Answer:** $$ \boxed{4} $$

---

**Summary of Answers:**
- **Problem 19:** 5
- **Problem 20:** 4
**Problem 19:** $$ x = 5 $$ **Problem 20:** $$ x = 4 $$

Find the value of for each of the following
proportion. (2 Points) *

2
9
5
4
20 Find the value of for each of the following
proportion. (2 Points) *

1
4
7
10

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Find the value of for each of the following proportion. (2 Points) * 2 9 5 4 20 Find the value of for each of the following proportion. (2 Points) * 1 4 7 10