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Finding the Fourth Proportional to 25,470.68, 38,160.82 and 10,646.92

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Solution

The fourth proportional to 25,470.68, 38,160.82 and 10,646.92 is: 15,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470.68 : 38,160.82 = 10,646.92 : x
  2. Step 2: Convert to fraction form
    25,470.68/38,160.82 = 10,646.92/x
  3. Step 3: Cross multiply
    25,470.68x = 38,160.82 × 10,646.92
  4. Step 4: Simplify right side
    25,470.68x = 406,295,197.67
  5. Step 5: Solve for x
    x = 406,295,197.67/25,470.68
  6. Step 6: Final answer
    x = 15,951.49

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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.