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Finding the Fourth Proportional to 12,201.08, 18,301.80 and 3,882.38

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Solution

The fourth proportional to 12,201.08, 18,301.80 and 3,882.38 is: 5,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.08 : 18,301.80 = 3,882.38 : x
  2. Step 2: Convert to fraction form
    12,201.08/18,301.80 = 3,882.38/x
  3. Step 3: Cross multiply
    12,201.08x = 18,301.80 × 3,882.38
  4. Step 4: Simplify right side
    12,201.08x = 71,054,542.28
  5. Step 5: Solve for x
    x = 71,054,542.28/12,201.08
  6. Step 6: Final answer
    x = 5,823.63

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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.