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Finding the Fourth Proportional to 12,204.34, 18,299.95 and 3,882.10

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Solution

The fourth proportional to 12,204.34, 18,299.95 and 3,882.10 is: 5,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.34 : 18,299.95 = 3,882.10 : x
  2. Step 2: Convert to fraction form
    12,204.34/18,299.95 = 3,882.10/x
  3. Step 3: Cross multiply
    12,204.34x = 18,299.95 × 3,882.10
  4. Step 4: Simplify right side
    12,204.34x = 71,042,235.90
  5. Step 5: Solve for x
    x = 71,042,235.90/12,204.34
  6. Step 6: Final answer
    x = 5,821.06

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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.