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Finding the Fourth Proportional to 13,843.30, 20,768.13 and 3,982.66

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Solution

The fourth proportional to 13,843.30, 20,768.13 and 3,982.66 is: 5,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.30 : 20,768.13 = 3,982.66 : x
  2. Step 2: Convert to fraction form
    13,843.30/20,768.13 = 3,982.66/x
  3. Step 3: Cross multiply
    13,843.30x = 20,768.13 × 3,982.66
  4. Step 4: Simplify right side
    13,843.30x = 82,712,400.63
  5. Step 5: Solve for x
    x = 82,712,400.63/13,843.30
  6. Step 6: Final answer
    x = 5,974.90

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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.