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Finding the Fourth Proportional to 22,426.92, 33,640.97 and 6,844.50

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Solution

The fourth proportional to 22,426.92, 33,640.97 and 6,844.50 is: 10,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,426.92 : 33,640.97 = 6,844.50 : x
  2. Step 2: Convert to fraction form
    22,426.92/33,640.97 = 6,844.50/x
  3. Step 3: Cross multiply
    22,426.92x = 33,640.97 × 6,844.50
  4. Step 4: Simplify right side
    22,426.92x = 230,255,584.94
  5. Step 5: Solve for x
    x = 230,255,584.94/22,426.92
  6. Step 6: Final answer
    x = 10,266.93

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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.