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Finding the Fourth Proportional to 14,819.73, 20,451.26 and 8,105.34

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Solution

The fourth proportional to 14,819.73, 20,451.26 and 8,105.34 is: 11,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.73 : 20,451.26 = 8,105.34 : x
  2. Step 2: Convert to fraction form
    14,819.73/20,451.26 = 8,105.34/x
  3. Step 3: Cross multiply
    14,819.73x = 20,451.26 × 8,105.34
  4. Step 4: Simplify right side
    14,819.73x = 165,764,375.20
  5. Step 5: Solve for x
    x = 165,764,375.20/14,819.73
  6. Step 6: Final answer
    x = 11,185.38

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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.