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Finding the Fourth Proportional to 27,651.20, 41,447.36 and 12,842.88

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Solution

The fourth proportional to 27,651.20, 41,447.36 and 12,842.88 is: 19,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,651.20 : 41,447.36 = 12,842.88 : x
  2. Step 2: Convert to fraction form
    27,651.20/41,447.36 = 12,842.88/x
  3. Step 3: Cross multiply
    27,651.20x = 41,447.36 × 12,842.88
  4. Step 4: Simplify right side
    27,651.20x = 532,303,470.80
  5. Step 5: Solve for x
    x = 532,303,470.80/27,651.20
  6. Step 6: Final answer
    x = 19,250.65

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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.