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Finding the Fourth Proportional to 20,149.20, 27,801.60 and 12,189.84

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Solution

The fourth proportional to 20,149.20, 27,801.60 and 12,189.84 is: 16,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.20 : 27,801.60 = 12,189.84 : x
  2. Step 2: Convert to fraction form
    20,149.20/27,801.60 = 12,189.84/x
  3. Step 3: Cross multiply
    20,149.20x = 27,801.60 × 12,189.84
  4. Step 4: Simplify right side
    20,149.20x = 338,897,055.74
  5. Step 5: Solve for x
    x = 338,897,055.74/20,149.20
  6. Step 6: Final answer
    x = 16,819.38

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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.