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Finding the Fourth Proportional to 13,422.74, 18,517.30 and 8,640.97

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Solution

The fourth proportional to 13,422.74, 18,517.30 and 8,640.97 is: 11,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.74 : 18,517.30 = 8,640.97 : x
  2. Step 2: Convert to fraction form
    13,422.74/18,517.30 = 8,640.97/x
  3. Step 3: Cross multiply
    13,422.74x = 18,517.30 × 8,640.97
  4. Step 4: Simplify right side
    13,422.74x = 160,007,387.49
  5. Step 5: Solve for x
    x = 160,007,387.49/13,422.74
  6. Step 6: Final answer
    x = 11,920.62

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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.