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Finding the Fourth Proportional to 20,227.75, 30,343.20 and 9,140.65

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Solution

The fourth proportional to 20,227.75, 30,343.20 and 9,140.65 is: 13,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.75 : 30,343.20 = 9,140.65 : x
  2. Step 2: Convert to fraction form
    20,227.75/30,343.20 = 9,140.65/x
  3. Step 3: Cross multiply
    20,227.75x = 30,343.20 × 9,140.65
  4. Step 4: Simplify right side
    20,227.75x = 277,356,571.08
  5. Step 5: Solve for x
    x = 277,356,571.08/20,227.75
  6. Step 6: Final answer
    x = 13,711.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.