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Finding the Fourth Proportional to 24,405.12, 36,593.28 and 9,601.92

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Solution

The fourth proportional to 24,405.12, 36,593.28 and 9,601.92 is: 14,397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405.12 : 36,593.28 = 9,601.92 : x
  2. Step 2: Convert to fraction form
    24,405.12/36,593.28 = 9,601.92/x
  3. Step 3: Cross multiply
    24,405.12x = 36,593.28 × 9,601.92
  4. Step 4: Simplify right side
    24,405.12x = 351,365,747.10
  5. Step 5: Solve for x
    x = 351,365,747.10/24,405.12
  6. Step 6: Final answer
    x = 14,397.21

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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.