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Finding the Fourth Proportional to 24,538.57, 36,759.67 and 16,193.12

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Solution

The fourth proportional to 24,538.57, 36,759.67 and 16,193.12 is: 24,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.57 : 36,759.67 = 16,193.12 : x
  2. Step 2: Convert to fraction form
    24,538.57/36,759.67 = 16,193.12/x
  3. Step 3: Cross multiply
    24,538.57x = 36,759.67 × 16,193.12
  4. Step 4: Simplify right side
    24,538.57x = 595,253,747.47
  5. Step 5: Solve for x
    x = 595,253,747.47/24,538.57
  6. Step 6: Final answer
    x = 24,257.88

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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.