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Finding the Fourth Proportional to 22,665.31, 31,269.17 and 13,103.43

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Solution

The fourth proportional to 22,665.31, 31,269.17 and 13,103.43 is: 18,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.31 : 31,269.17 = 13,103.43 : x
  2. Step 2: Convert to fraction form
    22,665.31/31,269.17 = 13,103.43/x
  3. Step 3: Cross multiply
    22,665.31x = 31,269.17 × 13,103.43
  4. Step 4: Simplify right side
    22,665.31x = 409,733,380.25
  5. Step 5: Solve for x
    x = 409,733,380.25/22,665.31
  6. Step 6: Final answer
    x = 18,077.55

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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.