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Finding the Fourth Proportional to 13,843.49, 20,768.72 and 3,982.55

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Solution

The fourth proportional to 13,843.49, 20,768.72 and 3,982.55 is: 5,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.49 : 20,768.72 = 3,982.55 : x
  2. Step 2: Convert to fraction form
    13,843.49/20,768.72 = 3,982.55/x
  3. Step 3: Cross multiply
    13,843.49x = 20,768.72 × 3,982.55
  4. Step 4: Simplify right side
    13,843.49x = 82,712,342.08
  5. Step 5: Solve for x
    x = 82,712,342.08/13,843.49
  6. Step 6: Final answer
    x = 5,974.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.