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Finding the Fourth Proportional to 20,179.85, 30,269.79 and 9,084.47

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Solution

The fourth proportional to 20,179.85, 30,269.79 and 9,084.47 is: 13,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.85 : 30,269.79 = 9,084.47 : x
  2. Step 2: Convert to fraction form
    20,179.85/30,269.79 = 9,084.47/x
  3. Step 3: Cross multiply
    20,179.85x = 30,269.79 × 9,084.47
  4. Step 4: Simplify right side
    20,179.85x = 274,984,847.81
  5. Step 5: Solve for x
    x = 274,984,847.81/20,179.85
  6. Step 6: Final answer
    x = 13,626.71

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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.