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Finding the Fourth Proportional to 27,832.80, 41,754.02 and 12,250

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Solution

The fourth proportional to 27,832.80, 41,754.02 and 12,250 is: 18,377.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.80 : 41,754.02 = 12,250 : x
  2. Step 2: Convert to fraction form
    27,832.80/41,754.02 = 12,250/x
  3. Step 3: Cross multiply
    27,832.80x = 41,754.02 × 12,250
  4. Step 4: Simplify right side
    27,832.80x = 511,486,745.00
  5. Step 5: Solve for x
    x = 511,486,745.00/27,832.80
  6. Step 6: Final answer
    x = 18,377.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.