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Finding the Fourth Proportional to 12,201.96, 18,308.18 and 3,882.66

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Solution

The fourth proportional to 12,201.96, 18,308.18 and 3,882.66 is: 5,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.96 : 18,308.18 = 3,882.66 : x
  2. Step 2: Convert to fraction form
    12,201.96/18,308.18 = 3,882.66/x
  3. Step 3: Cross multiply
    12,201.96x = 18,308.18 × 3,882.66
  4. Step 4: Simplify right side
    12,201.96x = 71,084,379.21
  5. Step 5: Solve for x
    x = 71,084,379.21/12,201.96
  6. Step 6: Final answer
    x = 5,825.65

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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.