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Finding the Fourth Proportional to 13,839.65, 19,098.93 and 7,871.49

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Solution

The fourth proportional to 13,839.65, 19,098.93 and 7,871.49 is: 10,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,839.65 : 19,098.93 = 7,871.49 : x
  2. Step 2: Convert to fraction form
    13,839.65/19,098.93 = 7,871.49/x
  3. Step 3: Cross multiply
    13,839.65x = 19,098.93 × 7,871.49
  4. Step 4: Simplify right side
    13,839.65x = 150,337,036.51
  5. Step 5: Solve for x
    x = 150,337,036.51/13,839.65
  6. Step 6: Final answer
    x = 10,862.78

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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.