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Finding the Fourth Proportional to 12,687.71, 17,512.56 and 7,383.55

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Solution

The fourth proportional to 12,687.71, 17,512.56 and 7,383.55 is: 10,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.71 : 17,512.56 = 7,383.55 : x
  2. Step 2: Convert to fraction form
    12,687.71/17,512.56 = 7,383.55/x
  3. Step 3: Cross multiply
    12,687.71x = 17,512.56 × 7,383.55
  4. Step 4: Simplify right side
    12,687.71x = 129,304,843.93
  5. Step 5: Solve for x
    x = 129,304,843.93/12,687.71
  6. Step 6: Final answer
    x = 10,191.34

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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.