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Finding the Fourth Proportional to 13,843.40, 20,765.39 and 4,959.30

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Solution

The fourth proportional to 13,843.40, 20,765.39 and 4,959.30 is: 7,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.40 : 20,765.39 = 4,959.30 : x
  2. Step 2: Convert to fraction form
    13,843.40/20,765.39 = 4,959.30/x
  3. Step 3: Cross multiply
    13,843.40x = 20,765.39 × 4,959.30
  4. Step 4: Simplify right side
    13,843.40x = 102,981,773.83
  5. Step 5: Solve for x
    x = 102,981,773.83/13,843.40
  6. Step 6: Final answer
    x = 7,439.05

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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.