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Finding the Fourth Proportional to 20,517.31, 30,781.14 and 5,726.22

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Solution

The fourth proportional to 20,517.31, 30,781.14 and 5,726.22 is: 8,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.31 : 30,781.14 = 5,726.22 : x
  2. Step 2: Convert to fraction form
    20,517.31/30,781.14 = 5,726.22/x
  3. Step 3: Cross multiply
    20,517.31x = 30,781.14 × 5,726.22
  4. Step 4: Simplify right side
    20,517.31x = 176,259,579.49
  5. Step 5: Solve for x
    x = 176,259,579.49/20,517.31
  6. Step 6: Final answer
    x = 8,590.77

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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.