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Finding the Fourth Proportional to 20,149.68, 27,805.20 and 11,196.48

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Solution

The fourth proportional to 20,149.68, 27,805.20 and 11,196.48 is: 15,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.68 : 27,805.20 = 11,196.48 : x
  2. Step 2: Convert to fraction form
    20,149.68/27,805.20 = 11,196.48/x
  3. Step 3: Cross multiply
    20,149.68x = 27,805.20 × 11,196.48
  4. Step 4: Simplify right side
    20,149.68x = 311,320,365.70
  5. Step 5: Solve for x
    x = 311,320,365.70/20,149.68
  6. Step 6: Final answer
    x = 15,450.39

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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.