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Finding the Fourth Proportional to 27,793.38, 38,360.80 and 17,719.50

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Solution

The fourth proportional to 27,793.38, 38,360.80 and 17,719.50 is: 24,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.38 : 38,360.80 = 17,719.50 : x
  2. Step 2: Convert to fraction form
    27,793.38/38,360.80 = 17,719.50/x
  3. Step 3: Cross multiply
    27,793.38x = 38,360.80 × 17,719.50
  4. Step 4: Simplify right side
    27,793.38x = 679,734,195.60
  5. Step 5: Solve for x
    x = 679,734,195.60/27,793.38
  6. Step 6: Final answer
    x = 24,456.69

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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.