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Finding the Fourth Proportional to 25,721.52, 38,585 and 8,187.24

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Solution

The fourth proportional to 25,721.52, 38,585 and 8,187.24 is: 12,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,721.52 : 38,585 = 8,187.24 : x
  2. Step 2: Convert to fraction form
    25,721.52/38,585 = 8,187.24/x
  3. Step 3: Cross multiply
    25,721.52x = 38,585 × 8,187.24
  4. Step 4: Simplify right side
    25,721.52x = 315,904,655.40
  5. Step 5: Solve for x
    x = 315,904,655.40/25,721.52
  6. Step 6: Final answer
    x = 12,281.73

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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.