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Finding the Fourth Proportional to 24,591.12, 36,897.48 and 9,013.20

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Solution

The fourth proportional to 24,591.12, 36,897.48 and 9,013.20 is: 13,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,591.12 : 36,897.48 = 9,013.20 : x
  2. Step 2: Convert to fraction form
    24,591.12/36,897.48 = 9,013.20/x
  3. Step 3: Cross multiply
    24,591.12x = 36,897.48 × 9,013.20
  4. Step 4: Simplify right side
    24,591.12x = 332,564,366.74
  5. Step 5: Solve for x
    x = 332,564,366.74/24,591.12
  6. Step 6: Final answer
    x = 13,523.76

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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.