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Finding the Fourth Proportional to 20,198.57, 30,296.70 and 8,347.19

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Solution

The fourth proportional to 20,198.57, 30,296.70 and 8,347.19 is: 12,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.57 : 30,296.70 = 8,347.19 : x
  2. Step 2: Convert to fraction form
    20,198.57/30,296.70 = 8,347.19/x
  3. Step 3: Cross multiply
    20,198.57x = 30,296.70 × 8,347.19
  4. Step 4: Simplify right side
    20,198.57x = 252,892,159.79
  5. Step 5: Solve for x
    x = 252,892,159.79/20,198.57
  6. Step 6: Final answer
    x = 12,520.30

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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.