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Finding the Fourth Proportional to 17,737.68, 24,479.25 and 10,186.20

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Solution

The fourth proportional to 17,737.68, 24,479.25 and 10,186.20 is: 14,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.68 : 24,479.25 = 10,186.20 : x
  2. Step 2: Convert to fraction form
    17,737.68/24,479.25 = 10,186.20/x
  3. Step 3: Cross multiply
    17,737.68x = 24,479.25 × 10,186.20
  4. Step 4: Simplify right side
    17,737.68x = 249,350,536.35
  5. Step 5: Solve for x
    x = 249,350,536.35/17,737.68
  6. Step 6: Final answer
    x = 14,057.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.