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Finding the Fourth Proportional to 27,879.26, 38,473.38 and 15,942.49

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Solution

The fourth proportional to 27,879.26, 38,473.38 and 15,942.49 is: 22,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.26 : 38,473.38 = 15,942.49 : x
  2. Step 2: Convert to fraction form
    27,879.26/38,473.38 = 15,942.49/x
  3. Step 3: Cross multiply
    27,879.26x = 38,473.38 × 15,942.49
  4. Step 4: Simplify right side
    27,879.26x = 613,361,379.73
  5. Step 5: Solve for x
    x = 613,361,379.73/27,879.26
  6. Step 6: Final answer
    x = 22,000.64

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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.