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Finding the Fourth Proportional to 13,040.97, 17,996.26 and 7,374.97

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Solution

The fourth proportional to 13,040.97, 17,996.26 and 7,374.97 is: 10,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.97 : 17,996.26 = 7,374.97 : x
  2. Step 2: Convert to fraction form
    13,040.97/17,996.26 = 7,374.97/x
  3. Step 3: Cross multiply
    13,040.97x = 17,996.26 × 7,374.97
  4. Step 4: Simplify right side
    13,040.97x = 132,721,909.33
  5. Step 5: Solve for x
    x = 132,721,909.33/13,040.97
  6. Step 6: Final answer
    x = 10,177.30

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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.