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Finding the Fourth Proportional to 20,262.75, 30,391.83 and 5,470.80

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Solution

The fourth proportional to 20,262.75, 30,391.83 and 5,470.80 is: 8,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.75 : 30,391.83 = 5,470.80 : x
  2. Step 2: Convert to fraction form
    20,262.75/30,391.83 = 5,470.80/x
  3. Step 3: Cross multiply
    20,262.75x = 30,391.83 × 5,470.80
  4. Step 4: Simplify right side
    20,262.75x = 166,267,623.56
  5. Step 5: Solve for x
    x = 166,267,623.56/20,262.75
  6. Step 6: Final answer
    x = 8,205.58

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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.