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Finding the Fourth Proportional to 20,781.65, 31,186.15 and 7,634.14

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Solution

The fourth proportional to 20,781.65, 31,186.15 and 7,634.14 is: 11,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.65 : 31,186.15 = 7,634.14 : x
  2. Step 2: Convert to fraction form
    20,781.65/31,186.15 = 7,634.14/x
  3. Step 3: Cross multiply
    20,781.65x = 31,186.15 × 7,634.14
  4. Step 4: Simplify right side
    20,781.65x = 238,079,338.11
  5. Step 5: Solve for x
    x = 238,079,338.11/20,781.65
  6. Step 6: Final answer
    x = 11,456.23

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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.