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Finding the Fourth Proportional to 23,114.80, 34,672.20 and 20,198.80

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Solution

The fourth proportional to 23,114.80, 34,672.20 and 20,198.80 is: 30,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.80 : 34,672.20 = 20,198.80 : x
  2. Step 2: Convert to fraction form
    23,114.80/34,672.20 = 20,198.80/x
  3. Step 3: Cross multiply
    23,114.80x = 34,672.20 × 20,198.80
  4. Step 4: Simplify right side
    23,114.80x = 700,336,833.36
  5. Step 5: Solve for x
    x = 700,336,833.36/23,114.80
  6. Step 6: Final answer
    x = 30,298.20

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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.