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Finding the Fourth Proportional to 20,769.82, 28,662.19 and 11,338.38

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Solution

The fourth proportional to 20,769.82, 28,662.19 and 11,338.38 is: 15,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769.82 : 28,662.19 = 11,338.38 : x
  2. Step 2: Convert to fraction form
    20,769.82/28,662.19 = 11,338.38/x
  3. Step 3: Cross multiply
    20,769.82x = 28,662.19 × 11,338.38
  4. Step 4: Simplify right side
    20,769.82x = 324,982,801.85
  5. Step 5: Solve for x
    x = 324,982,801.85/20,769.82
  6. Step 6: Final answer
    x = 15,646.88

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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.