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Finding the Fourth Proportional to 27,781.26, 38,338.12 and 15,206

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Solution

The fourth proportional to 27,781.26, 38,338.12 and 15,206 is: 20,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.26 : 38,338.12 = 15,206 : x
  2. Step 2: Convert to fraction form
    27,781.26/38,338.12 = 15,206/x
  3. Step 3: Cross multiply
    27,781.26x = 38,338.12 × 15,206
  4. Step 4: Simplify right side
    27,781.26x = 582,969,452.72
  5. Step 5: Solve for x
    x = 582,969,452.72/27,781.26
  6. Step 6: Final answer
    x = 20,984.27

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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.