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Finding the Fourth Proportional to 27,874.56, 38,478.92 and 17,121.17

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Solution

The fourth proportional to 27,874.56, 38,478.92 and 17,121.17 is: 23,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.56 : 38,478.92 = 17,121.17 : x
  2. Step 2: Convert to fraction form
    27,874.56/38,478.92 = 17,121.17/x
  3. Step 3: Cross multiply
    27,874.56x = 38,478.92 × 17,121.17
  4. Step 4: Simplify right side
    27,874.56x = 658,804,141.33
  5. Step 5: Solve for x
    x = 658,804,141.33/27,874.56
  6. Step 6: Final answer
    x = 23,634.60

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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.