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Finding the Fourth Proportional to 12,207.98, 18,311.72 and 3,888.57

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Solution

The fourth proportional to 12,207.98, 18,311.72 and 3,888.57 is: 5,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.98 : 18,311.72 = 3,888.57 : x
  2. Step 2: Convert to fraction form
    12,207.98/18,311.72 = 3,888.57/x
  3. Step 3: Cross multiply
    12,207.98x = 18,311.72 × 3,888.57
  4. Step 4: Simplify right side
    12,207.98x = 71,206,385.60
  5. Step 5: Solve for x
    x = 71,206,385.60/12,207.98
  6. Step 6: Final answer
    x = 5,832.78

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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.