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Finding the Fourth Proportional to 22,615.57, 31,209.60 and 12,543.31

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Solution

The fourth proportional to 22,615.57, 31,209.60 and 12,543.31 is: 17,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.57 : 31,209.60 = 12,543.31 : x
  2. Step 2: Convert to fraction form
    22,615.57/31,209.60 = 12,543.31/x
  3. Step 3: Cross multiply
    22,615.57x = 31,209.60 × 12,543.31
  4. Step 4: Simplify right side
    22,615.57x = 391,471,687.78
  5. Step 5: Solve for x
    x = 391,471,687.78/22,615.57
  6. Step 6: Final answer
    x = 17,309.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.