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Finding the Fourth Proportional to 24,505.76, 36,755.90 and 6,737.78

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Solution

The fourth proportional to 24,505.76, 36,755.90 and 6,737.78 is: 10,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505.76 : 36,755.90 = 6,737.78 : x
  2. Step 2: Convert to fraction form
    24,505.76/36,755.90 = 6,737.78/x
  3. Step 3: Cross multiply
    24,505.76x = 36,755.90 × 6,737.78
  4. Step 4: Simplify right side
    24,505.76x = 247,653,167.90
  5. Step 5: Solve for x
    x = 247,653,167.90/24,505.76
  6. Step 6: Final answer
    x = 10,105.92

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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.