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Finding the Fourth Proportional to 12,286.31, 18,414.88 and 7,081.43

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Solution

The fourth proportional to 12,286.31, 18,414.88 and 7,081.43 is: 10,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.31 : 18,414.88 = 7,081.43 : x
  2. Step 2: Convert to fraction form
    12,286.31/18,414.88 = 7,081.43/x
  3. Step 3: Cross multiply
    12,286.31x = 18,414.88 × 7,081.43
  4. Step 4: Simplify right side
    12,286.31x = 130,403,683.68
  5. Step 5: Solve for x
    x = 130,403,683.68/12,286.31
  6. Step 6: Final answer
    x = 10,613.74

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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.