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Finding the Fourth Proportional to 20,195.52, 30,228.30 and 10,812

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Solution

The fourth proportional to 20,195.52, 30,228.30 and 10,812 is: 16,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.52 : 30,228.30 = 10,812 : x
  2. Step 2: Convert to fraction form
    20,195.52/30,228.30 = 10,812/x
  3. Step 3: Cross multiply
    20,195.52x = 30,228.30 × 10,812
  4. Step 4: Simplify right side
    20,195.52x = 326,828,379.60
  5. Step 5: Solve for x
    x = 326,828,379.60/20,195.52
  6. Step 6: Final answer
    x = 16,183.21

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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.