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Finding the Fourth Proportional to 13,414.56, 18,510.57 and 7,446.48

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Solution

The fourth proportional to 13,414.56, 18,510.57 and 7,446.48 is: 10,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.56 : 18,510.57 = 7,446.48 : x
  2. Step 2: Convert to fraction form
    13,414.56/18,510.57 = 7,446.48/x
  3. Step 3: Cross multiply
    13,414.56x = 18,510.57 × 7,446.48
  4. Step 4: Simplify right side
    13,414.56x = 137,838,589.29
  5. Step 5: Solve for x
    x = 137,838,589.29/13,414.56
  6. Step 6: Final answer
    x = 10,275.30

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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.