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Finding the Fourth Proportional to 21,542.32, 29,727.90 and 11,982.18

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Solution

The fourth proportional to 21,542.32, 29,727.90 and 11,982.18 is: 16,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.32 : 29,727.90 = 11,982.18 : x
  2. Step 2: Convert to fraction form
    21,542.32/29,727.90 = 11,982.18/x
  3. Step 3: Cross multiply
    21,542.32x = 29,727.90 × 11,982.18
  4. Step 4: Simplify right side
    21,542.32x = 356,205,048.82
  5. Step 5: Solve for x
    x = 356,205,048.82/21,542.32
  6. Step 6: Final answer
    x = 16,535.13

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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.