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Finding the Fourth Proportional to 20,236.38, 27,938.07 and 12,794.46

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Solution

The fourth proportional to 20,236.38, 27,938.07 and 12,794.46 is: 17,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,236.38 : 27,938.07 = 12,794.46 : x
  2. Step 2: Convert to fraction form
    20,236.38/27,938.07 = 12,794.46/x
  3. Step 3: Cross multiply
    20,236.38x = 27,938.07 × 12,794.46
  4. Step 4: Simplify right side
    20,236.38x = 357,452,519.09
  5. Step 5: Solve for x
    x = 357,452,519.09/20,236.38
  6. Step 6: Final answer
    x = 17,663.86

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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.