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Finding the Fourth Proportional to 17,158.52, 25,732.31 and 5,469

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Solution

The fourth proportional to 17,158.52, 25,732.31 and 5,469 is: 8,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,158.52 : 25,732.31 = 5,469 : x
  2. Step 2: Convert to fraction form
    17,158.52/25,732.31 = 5,469/x
  3. Step 3: Cross multiply
    17,158.52x = 25,732.31 × 5,469
  4. Step 4: Simplify right side
    17,158.52x = 140,729,976.05
  5. Step 5: Solve for x
    x = 140,729,976.05/17,158.52
  6. Step 6: Final answer
    x = 8,201.76

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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.