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Finding the Fourth Proportional to 24,931.28, 37,385.96 and 9,337.97

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Solution

The fourth proportional to 24,931.28, 37,385.96 and 9,337.97 is: 14,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,931.28 : 37,385.96 = 9,337.97 : x
  2. Step 2: Convert to fraction form
    24,931.28/37,385.96 = 9,337.97/x
  3. Step 3: Cross multiply
    24,931.28x = 37,385.96 × 9,337.97
  4. Step 4: Simplify right side
    24,931.28x = 349,108,972.90
  5. Step 5: Solve for x
    x = 349,108,972.90/24,931.28
  6. Step 6: Final answer
    x = 14,002.85

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Why These Related Problems?

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