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Finding the Fourth Proportional to 22,072.71, 33,104.25 and 8,033.07

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Solution

The fourth proportional to 22,072.71, 33,104.25 and 8,033.07 is: 12,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072.71 : 33,104.25 = 8,033.07 : x
  2. Step 2: Convert to fraction form
    22,072.71/33,104.25 = 8,033.07/x
  3. Step 3: Cross multiply
    22,072.71x = 33,104.25 × 8,033.07
  4. Step 4: Simplify right side
    22,072.71x = 265,928,757.55
  5. Step 5: Solve for x
    x = 265,928,757.55/22,072.71
  6. Step 6: Final answer
    x = 12,047.85

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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.