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Finding the Fourth Proportional to 20,600.80, 30,917.61 and 8,123.96

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Solution

The fourth proportional to 20,600.80, 30,917.61 and 8,123.96 is: 12,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,600.80 : 30,917.61 = 8,123.96 : x
  2. Step 2: Convert to fraction form
    20,600.80/30,917.61 = 8,123.96/x
  3. Step 3: Cross multiply
    20,600.80x = 30,917.61 × 8,123.96
  4. Step 4: Simplify right side
    20,600.80x = 251,173,504.23
  5. Step 5: Solve for x
    x = 251,173,504.23/20,600.80
  6. Step 6: Final answer
    x = 12,192.42

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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.