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Finding the Fourth Proportional to 24,517.38, 36,772.56 and 7,875.27

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Solution

The fourth proportional to 24,517.38, 36,772.56 and 7,875.27 is: 11,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.38 : 36,772.56 = 7,875.27 : x
  2. Step 2: Convert to fraction form
    24,517.38/36,772.56 = 7,875.27/x
  3. Step 3: Cross multiply
    24,517.38x = 36,772.56 × 7,875.27
  4. Step 4: Simplify right side
    24,517.38x = 289,593,838.59
  5. Step 5: Solve for x
    x = 289,593,838.59/24,517.38
  6. Step 6: Final answer
    x = 11,811.78

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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.