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Finding the Fourth Proportional to 20,179.81, 30,269.39 and 9,078.65

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Solution

The fourth proportional to 20,179.81, 30,269.39 and 9,078.65 is: 13,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.81 : 30,269.39 = 9,078.65 : x
  2. Step 2: Convert to fraction form
    20,179.81/30,269.39 = 9,078.65/x
  3. Step 3: Cross multiply
    20,179.81x = 30,269.39 × 9,078.65
  4. Step 4: Simplify right side
    20,179.81x = 274,805,197.52
  5. Step 5: Solve for x
    x = 274,805,197.52/20,179.81
  6. Step 6: Final answer
    x = 13,617.83

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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.