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Finding the Fourth Proportional to 25,790.48, 38,691.52 and 9,150.48

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Solution

The fourth proportional to 25,790.48, 38,691.52 and 9,150.48 is: 13,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,790.48 : 38,691.52 = 9,150.48 : x
  2. Step 2: Convert to fraction form
    25,790.48/38,691.52 = 9,150.48/x
  3. Step 3: Cross multiply
    25,790.48x = 38,691.52 × 9,150.48
  4. Step 4: Simplify right side
    25,790.48x = 354,046,062.93
  5. Step 5: Solve for x
    x = 354,046,062.93/25,790.48
  6. Step 6: Final answer
    x = 13,727.78

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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.