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Finding the Fourth Proportional to 20,381.20, 30,576.04 and 6,342.24

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Solution

The fourth proportional to 20,381.20, 30,576.04 and 6,342.24 is: 9,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.20 : 30,576.04 = 6,342.24 : x
  2. Step 2: Convert to fraction form
    20,381.20/30,576.04 = 6,342.24/x
  3. Step 3: Cross multiply
    20,381.20x = 30,576.04 × 6,342.24
  4. Step 4: Simplify right side
    20,381.20x = 193,920,583.93
  5. Step 5: Solve for x
    x = 193,920,583.93/20,381.20
  6. Step 6: Final answer
    x = 9,514.68

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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.