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Finding the Fourth Proportional to 17,732.52, 24,456.60 and 10,657.44

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Solution

The fourth proportional to 17,732.52, 24,456.60 and 10,657.44 is: 14,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.52 : 24,456.60 = 10,657.44 : x
  2. Step 2: Convert to fraction form
    17,732.52/24,456.60 = 10,657.44/x
  3. Step 3: Cross multiply
    17,732.52x = 24,456.60 × 10,657.44
  4. Step 4: Simplify right side
    17,732.52x = 260,644,747.10
  5. Step 5: Solve for x
    x = 260,644,747.10/17,732.52
  6. Step 6: Final answer
    x = 14,698.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.