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Finding the Fourth Proportional to 22,244.68, 33,369.10 and 8,204.14

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Solution

The fourth proportional to 22,244.68, 33,369.10 and 8,204.14 is: 12,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,244.68 : 33,369.10 = 8,204.14 : x
  2. Step 2: Convert to fraction form
    22,244.68/33,369.10 = 8,204.14/x
  3. Step 3: Cross multiply
    22,244.68x = 33,369.10 × 8,204.14
  4. Step 4: Simplify right side
    22,244.68x = 273,764,768.07
  5. Step 5: Solve for x
    x = 273,764,768.07/22,244.68
  6. Step 6: Final answer
    x = 12,306.98

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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.