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Finding the Fourth Proportional to 13,843.32, 20,753.38 and 6,046.20

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Solution

The fourth proportional to 13,843.32, 20,753.38 and 6,046.20 is: 9,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.32 : 20,753.38 = 6,046.20 : x
  2. Step 2: Convert to fraction form
    13,843.32/20,753.38 = 6,046.20/x
  3. Step 3: Cross multiply
    13,843.32x = 20,753.38 × 6,046.20
  4. Step 4: Simplify right side
    13,843.32x = 125,479,086.16
  5. Step 5: Solve for x
    x = 125,479,086.16/13,843.32
  6. Step 6: Final answer
    x = 9,064.23

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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.