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Finding the Fourth Proportional to 20,843.80, 31,270.18 and 11,963.23

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Solution

The fourth proportional to 20,843.80, 31,270.18 and 11,963.23 is: 17,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.80 : 31,270.18 = 11,963.23 : x
  2. Step 2: Convert to fraction form
    20,843.80/31,270.18 = 11,963.23/x
  3. Step 3: Cross multiply
    20,843.80x = 31,270.18 × 11,963.23
  4. Step 4: Simplify right side
    20,843.80x = 374,092,355.48
  5. Step 5: Solve for x
    x = 374,092,355.48/20,843.80
  6. Step 6: Final answer
    x = 17,947.42

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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.