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Finding the Fourth Proportional to 16,781.20, 25,175.16 and 6,394

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Solution

The fourth proportional to 16,781.20, 25,175.16 and 6,394 is: 9,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.20 : 25,175.16 = 6,394 : x
  2. Step 2: Convert to fraction form
    16,781.20/25,175.16 = 6,394/x
  3. Step 3: Cross multiply
    16,781.20x = 25,175.16 × 6,394
  4. Step 4: Simplify right side
    16,781.20x = 160,969,973.04
  5. Step 5: Solve for x
    x = 160,969,973.04/16,781.20
  6. Step 6: Final answer
    x = 9,592.28

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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.