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Finding the Fourth Proportional to 27,879.80, 41,819.46 and 12,297.44

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Solution

The fourth proportional to 27,879.80, 41,819.46 and 12,297.44 is: 18,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.80 : 41,819.46 = 12,297.44 : x
  2. Step 2: Convert to fraction form
    27,879.80/41,819.46 = 12,297.44/x
  3. Step 3: Cross multiply
    27,879.80x = 41,819.46 × 12,297.44
  4. Step 4: Simplify right side
    27,879.80x = 514,272,300.18
  5. Step 5: Solve for x
    x = 514,272,300.18/27,879.80
  6. Step 6: Final answer
    x = 18,446.05

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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.