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Finding the Fourth Proportional to 20,506.33, 30,769.21 and 12,202.75

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Solution

The fourth proportional to 20,506.33, 30,769.21 and 12,202.75 is: 18,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.33 : 30,769.21 = 12,202.75 : x
  2. Step 2: Convert to fraction form
    20,506.33/30,769.21 = 12,202.75/x
  3. Step 3: Cross multiply
    20,506.33x = 30,769.21 × 12,202.75
  4. Step 4: Simplify right side
    20,506.33x = 375,468,823.48
  5. Step 5: Solve for x
    x = 375,468,823.48/20,506.33
  6. Step 6: Final answer
    x = 18,309.90

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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.