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Finding the Fourth Proportional to 13,841.31, 20,761.84 and 3,980.55

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Solution

The fourth proportional to 13,841.31, 20,761.84 and 3,980.55 is: 5,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.31 : 20,761.84 = 3,980.55 : x
  2. Step 2: Convert to fraction form
    13,841.31/20,761.84 = 3,980.55/x
  3. Step 3: Cross multiply
    13,841.31x = 20,761.84 × 3,980.55
  4. Step 4: Simplify right side
    13,841.31x = 82,643,542.21
  5. Step 5: Solve for x
    x = 82,643,542.21/13,841.31
  6. Step 6: Final answer
    x = 5,970.79

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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.