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Finding the Fourth Proportional to 14,524.05, 20,042.02 and 8,149.78

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Solution

The fourth proportional to 14,524.05, 20,042.02 and 8,149.78 is: 11,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.05 : 20,042.02 = 8,149.78 : x
  2. Step 2: Convert to fraction form
    14,524.05/20,042.02 = 8,149.78/x
  3. Step 3: Cross multiply
    14,524.05x = 20,042.02 × 8,149.78
  4. Step 4: Simplify right side
    14,524.05x = 163,338,053.76
  5. Step 5: Solve for x
    x = 163,338,053.76/14,524.05
  6. Step 6: Final answer
    x = 11,246.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.