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Finding the Fourth Proportional to 20,175.31, 30,267.83 and 6,324.31

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Solution

The fourth proportional to 20,175.31, 30,267.83 and 6,324.31 is: 9,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.31 : 30,267.83 = 6,324.31 : x
  2. Step 2: Convert to fraction form
    20,175.31/30,267.83 = 6,324.31/x
  3. Step 3: Cross multiply
    20,175.31x = 30,267.83 × 6,324.31
  4. Step 4: Simplify right side
    20,175.31x = 191,423,207.71
  5. Step 5: Solve for x
    x = 191,423,207.71/20,175.31
  6. Step 6: Final answer
    x = 9,487.99

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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.