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Finding the Fourth Proportional to 16,500.39, 24,755.72 and 5,407.17

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Solution

The fourth proportional to 16,500.39, 24,755.72 and 5,407.17 is: 8,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.39 : 24,755.72 = 5,407.17 : x
  2. Step 2: Convert to fraction form
    16,500.39/24,755.72 = 5,407.17/x
  3. Step 3: Cross multiply
    16,500.39x = 24,755.72 × 5,407.17
  4. Step 4: Simplify right side
    16,500.39x = 133,858,359.48
  5. Step 5: Solve for x
    x = 133,858,359.48/16,500.39
  6. Step 6: Final answer
    x = 8,112.44

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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.