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Finding the Fourth Proportional to 14,843.39, 20,486.19 and 8,469.97

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Solution

The fourth proportional to 14,843.39, 20,486.19 and 8,469.97 is: 11,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.39 : 20,486.19 = 8,469.97 : x
  2. Step 2: Convert to fraction form
    14,843.39/20,486.19 = 8,469.97/x
  3. Step 3: Cross multiply
    14,843.39x = 20,486.19 × 8,469.97
  4. Step 4: Simplify right side
    14,843.39x = 173,517,414.71
  5. Step 5: Solve for x
    x = 173,517,414.71/14,843.39
  6. Step 6: Final answer
    x = 11,689.88

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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.