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Finding the Fourth Proportional to 13,414.68, 18,512.01 and 7,446.06

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Solution

The fourth proportional to 13,414.68, 18,512.01 and 7,446.06 is: 10,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.68 : 18,512.01 = 7,446.06 : x
  2. Step 2: Convert to fraction form
    13,414.68/18,512.01 = 7,446.06/x
  3. Step 3: Cross multiply
    13,414.68x = 18,512.01 × 7,446.06
  4. Step 4: Simplify right side
    13,414.68x = 137,841,537.18
  5. Step 5: Solve for x
    x = 137,841,537.18/13,414.68
  6. Step 6: Final answer
    x = 10,275.42

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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.