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Finding the Fourth Proportional to 27,874.16, 41,824.92 and 12,273.20

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Solution

The fourth proportional to 27,874.16, 41,824.92 and 12,273.20 is: 18,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.16 : 41,824.92 = 12,273.20 : x
  2. Step 2: Convert to fraction form
    27,874.16/41,824.92 = 12,273.20/x
  3. Step 3: Cross multiply
    27,874.16x = 41,824.92 × 12,273.20
  4. Step 4: Simplify right side
    27,874.16x = 513,325,608.14
  5. Step 5: Solve for x
    x = 513,325,608.14/27,874.16
  6. Step 6: Final answer
    x = 18,415.82

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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.