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Finding the Fourth Proportional to 12,202.52, 18,302.81 and 3,882.20

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Solution

The fourth proportional to 12,202.52, 18,302.81 and 3,882.20 is: 5,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.52 : 18,302.81 = 3,882.20 : x
  2. Step 2: Convert to fraction form
    12,202.52/18,302.81 = 3,882.20/x
  3. Step 3: Cross multiply
    12,202.52x = 18,302.81 × 3,882.20
  4. Step 4: Simplify right side
    12,202.52x = 71,055,058.06
  5. Step 5: Solve for x
    x = 71,055,058.06/12,202.52
  6. Step 6: Final answer
    x = 5,822.98

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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.