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Finding the Fourth Proportional to 22,529, 33,793.62 and 6,113

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Solution

The fourth proportional to 22,529, 33,793.62 and 6,113 is: 9,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529 : 33,793.62 = 6,113 : x
  2. Step 2: Convert to fraction form
    22,529/33,793.62 = 6,113/x
  3. Step 3: Cross multiply
    22,529x = 33,793.62 × 6,113
  4. Step 4: Simplify right side
    22,529x = 206,580,399.06
  5. Step 5: Solve for x
    x = 206,580,399.06/22,529
  6. Step 6: Final answer
    x = 9,169.53

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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.