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Finding the Fourth Proportional to 14,819.37, 20,450.25 and 8,105.10

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Solution

The fourth proportional to 14,819.37, 20,450.25 and 8,105.10 is: 11,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.37 : 20,450.25 = 8,105.10 : x
  2. Step 2: Convert to fraction form
    14,819.37/20,450.25 = 8,105.10/x
  3. Step 3: Cross multiply
    14,819.37x = 20,450.25 × 8,105.10
  4. Step 4: Simplify right side
    14,819.37x = 165,751,321.28
  5. Step 5: Solve for x
    x = 165,751,321.28/14,819.37
  6. Step 6: Final answer
    x = 11,184.78

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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.