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Finding the Fourth Proportional to 13,414.61, 18,512.46 and 7,446.19

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Solution

The fourth proportional to 13,414.61, 18,512.46 and 7,446.19 is: 10,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.61 : 18,512.46 = 7,446.19 : x
  2. Step 2: Convert to fraction form
    13,414.61/18,512.46 = 7,446.19/x
  3. Step 3: Cross multiply
    13,414.61x = 18,512.46 × 7,446.19
  4. Step 4: Simplify right side
    13,414.61x = 137,847,294.53
  5. Step 5: Solve for x
    x = 137,847,294.53/13,414.61
  6. Step 6: Final answer
    x = 10,275.91

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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.