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Finding the Fourth Proportional to 13,414.38, 18,510.97 and 7,446.05

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Solution

The fourth proportional to 13,414.38, 18,510.97 and 7,446.05 is: 10,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.38 : 18,510.97 = 7,446.05 : x
  2. Step 2: Convert to fraction form
    13,414.38/18,510.97 = 7,446.05/x
  3. Step 3: Cross multiply
    13,414.38x = 18,510.97 × 7,446.05
  4. Step 4: Simplify right side
    13,414.38x = 137,833,608.17
  5. Step 5: Solve for x
    x = 137,833,608.17/13,414.38
  6. Step 6: Final answer
    x = 10,275.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.