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Finding the Fourth Proportional to 13,839.01, 19,098.26 and 7,871.54

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Solution

The fourth proportional to 13,839.01, 19,098.26 and 7,871.54 is: 10,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,839.01 : 19,098.26 = 7,871.54 : x
  2. Step 2: Convert to fraction form
    13,839.01/19,098.26 = 7,871.54/x
  3. Step 3: Cross multiply
    13,839.01x = 19,098.26 × 7,871.54
  4. Step 4: Simplify right side
    13,839.01x = 150,332,717.52
  5. Step 5: Solve for x
    x = 150,332,717.52/13,839.01
  6. Step 6: Final answer
    x = 10,862.97

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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.