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Finding the Fourth Proportional to 22,406.36, 33,609.94 and 5,766.73

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Solution

The fourth proportional to 22,406.36, 33,609.94 and 5,766.73 is: 8,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.36 : 33,609.94 = 5,766.73 : x
  2. Step 2: Convert to fraction form
    22,406.36/33,609.94 = 5,766.73/x
  3. Step 3: Cross multiply
    22,406.36x = 33,609.94 × 5,766.73
  4. Step 4: Simplify right side
    22,406.36x = 193,819,350.85
  5. Step 5: Solve for x
    x = 193,819,350.85/22,406.36
  6. Step 6: Final answer
    x = 8,650.20

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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.