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Finding the Fourth Proportional to 38,472.80, 57,715.14 and 16,286.30

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Solution

The fourth proportional to 38,472.80, 57,715.14 and 16,286.30 is: 24,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,472.80 : 57,715.14 = 16,286.30 : x
  2. Step 2: Convert to fraction form
    38,472.80/57,715.14 = 16,286.30/x
  3. Step 3: Cross multiply
    38,472.80x = 57,715.14 × 16,286.30
  4. Step 4: Simplify right side
    38,472.80x = 939,966,084.58
  5. Step 5: Solve for x
    x = 939,966,084.58/38,472.80
  6. Step 6: Final answer
    x = 24,431.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.