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Finding the Fourth Proportional to 20,198.85, 30,279.11 and 7,047.69

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Solution

The fourth proportional to 20,198.85, 30,279.11 and 7,047.69 is: 10,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.85 : 30,279.11 = 7,047.69 : x
  2. Step 2: Convert to fraction form
    20,198.85/30,279.11 = 7,047.69/x
  3. Step 3: Cross multiply
    20,198.85x = 30,279.11 × 7,047.69
  4. Step 4: Simplify right side
    20,198.85x = 213,397,745.52
  5. Step 5: Solve for x
    x = 213,397,745.52/20,198.85
  6. Step 6: Final answer
    x = 10,564.85

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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.