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Finding the Fourth Proportional to 13,701.97, 18,908.63 and 7,414.21

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Solution

The fourth proportional to 13,701.97, 18,908.63 and 7,414.21 is: 10,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.97 : 18,908.63 = 7,414.21 : x
  2. Step 2: Convert to fraction form
    13,701.97/18,908.63 = 7,414.21/x
  3. Step 3: Cross multiply
    13,701.97x = 18,908.63 × 7,414.21
  4. Step 4: Simplify right side
    13,701.97x = 140,192,553.63
  5. Step 5: Solve for x
    x = 140,192,553.63/13,701.97
  6. Step 6: Final answer
    x = 10,231.56

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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.