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Finding the Fourth Proportional to 20,092.26, 27,727.26 and 12,132.92

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Solution

The fourth proportional to 20,092.26, 27,727.26 and 12,132.92 is: 16,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.26 : 27,727.26 = 12,132.92 : x
  2. Step 2: Convert to fraction form
    20,092.26/27,727.26 = 12,132.92/x
  3. Step 3: Cross multiply
    20,092.26x = 27,727.26 × 12,132.92
  4. Step 4: Simplify right side
    20,092.26x = 336,412,627.40
  5. Step 5: Solve for x
    x = 336,412,627.40/20,092.26
  6. Step 6: Final answer
    x = 16,743.39

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Why These Related Problems?

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