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Finding the Fourth Proportional to 22,206.38, 33,309.56 and 5,790.38

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Solution

The fourth proportional to 22,206.38, 33,309.56 and 5,790.38 is: 8,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.38 : 33,309.56 = 5,790.38 : x
  2. Step 2: Convert to fraction form
    22,206.38/33,309.56 = 5,790.38/x
  3. Step 3: Cross multiply
    22,206.38x = 33,309.56 × 5,790.38
  4. Step 4: Simplify right side
    22,206.38x = 192,874,857.96
  5. Step 5: Solve for x
    x = 192,874,857.96/22,206.38
  6. Step 6: Final answer
    x = 8,685.56

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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.