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Finding the Fourth Proportional to 13,414.57, 18,512.21 and 8,112.92

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Solution

The fourth proportional to 13,414.57, 18,512.21 and 8,112.92 is: 11,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.57 : 18,512.21 = 8,112.92 : x
  2. Step 2: Convert to fraction form
    13,414.57/18,512.21 = 8,112.92/x
  3. Step 3: Cross multiply
    13,414.57x = 18,512.21 × 8,112.92
  4. Step 4: Simplify right side
    13,414.57x = 150,188,006.47
  5. Step 5: Solve for x
    x = 150,188,006.47/13,414.57
  6. Step 6: Final answer
    x = 11,195.89

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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.