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Finding the Fourth Proportional to 27,872.12, 38,481.54 and 17,273

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Solution

The fourth proportional to 27,872.12, 38,481.54 and 17,273 is: 23,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.12 : 38,481.54 = 17,273 : x
  2. Step 2: Convert to fraction form
    27,872.12/38,481.54 = 17,273/x
  3. Step 3: Cross multiply
    27,872.12x = 38,481.54 × 17,273
  4. Step 4: Simplify right side
    27,872.12x = 664,691,640.42
  5. Step 5: Solve for x
    x = 664,691,640.42/27,872.12
  6. Step 6: Final answer
    x = 23,847.90

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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.