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Finding the Fourth Proportional to 20,781.97, 31,172.14 and 6,930.97

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Solution

The fourth proportional to 20,781.97, 31,172.14 and 6,930.97 is: 10,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.97 : 31,172.14 = 6,930.97 : x
  2. Step 2: Convert to fraction form
    20,781.97/31,172.14 = 6,930.97/x
  3. Step 3: Cross multiply
    20,781.97x = 31,172.14 × 6,930.97
  4. Step 4: Simplify right side
    20,781.97x = 216,053,097.91
  5. Step 5: Solve for x
    x = 216,053,097.91/20,781.97
  6. Step 6: Final answer
    x = 10,396.18

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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.