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Finding the Fourth Proportional to 27,709.26, 38,198.28 and 22,046.13

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Solution

The fourth proportional to 27,709.26, 38,198.28 and 22,046.13 is: 30,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.26 : 38,198.28 = 22,046.13 : x
  2. Step 2: Convert to fraction form
    27,709.26/38,198.28 = 22,046.13/x
  3. Step 3: Cross multiply
    27,709.26x = 38,198.28 × 22,046.13
  4. Step 4: Simplify right side
    27,709.26x = 842,124,246.66
  5. Step 5: Solve for x
    x = 842,124,246.66/27,709.26
  6. Step 6: Final answer
    x = 30,391.44

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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.