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Finding the Fourth Proportional to 20,145.32, 30,218.08 and 6,818.44

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Solution

The fourth proportional to 20,145.32, 30,218.08 and 6,818.44 is: 10,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.32 : 30,218.08 = 6,818.44 : x
  2. Step 2: Convert to fraction form
    20,145.32/30,218.08 = 6,818.44/x
  3. Step 3: Cross multiply
    20,145.32x = 30,218.08 × 6,818.44
  4. Step 4: Simplify right side
    20,145.32x = 206,040,072.80
  5. Step 5: Solve for x
    x = 206,040,072.80/20,145.32
  6. Step 6: Final answer
    x = 10,227.69

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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.