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Finding the Fourth Proportional to 25,227.52, 37,842.48 and 9,646.48

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Solution

The fourth proportional to 25,227.52, 37,842.48 and 9,646.48 is: 14,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227.52 : 37,842.48 = 9,646.48 : x
  2. Step 2: Convert to fraction form
    25,227.52/37,842.48 = 9,646.48/x
  3. Step 3: Cross multiply
    25,227.52x = 37,842.48 × 9,646.48
  4. Step 4: Simplify right side
    25,227.52x = 365,046,726.47
  5. Step 5: Solve for x
    x = 365,046,726.47/25,227.52
  6. Step 6: Final answer
    x = 14,470.18

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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.