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Finding the Fourth Proportional to 21,542.25, 29,727.75 and 11,982.15

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Solution

The fourth proportional to 21,542.25, 29,727.75 and 11,982.15 is: 16,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.25 : 29,727.75 = 11,982.15 : x
  2. Step 2: Convert to fraction form
    21,542.25/29,727.75 = 11,982.15/x
  3. Step 3: Cross multiply
    21,542.25x = 29,727.75 × 11,982.15
  4. Step 4: Simplify right side
    21,542.25x = 356,202,359.66
  5. Step 5: Solve for x
    x = 356,202,359.66/21,542.25
  6. Step 6: Final answer
    x = 16,535.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.