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Finding the Fourth Proportional to 22,055.04, 33,082.72 and 8,204

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Solution

The fourth proportional to 22,055.04, 33,082.72 and 8,204 is: 12,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,055.04 : 33,082.72 = 8,204 : x
  2. Step 2: Convert to fraction form
    22,055.04/33,082.72 = 8,204/x
  3. Step 3: Cross multiply
    22,055.04x = 33,082.72 × 8,204
  4. Step 4: Simplify right side
    22,055.04x = 271,410,634.88
  5. Step 5: Solve for x
    x = 271,410,634.88/22,055.04
  6. Step 6: Final answer
    x = 12,306.06

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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.