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Finding the Fourth Proportional to 22,426.90, 33,640.08 and 6,844.57

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Solution

The fourth proportional to 22,426.90, 33,640.08 and 6,844.57 is: 10,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,426.90 : 33,640.08 = 6,844.57 : x
  2. Step 2: Convert to fraction form
    22,426.90/33,640.08 = 6,844.57/x
  3. Step 3: Cross multiply
    22,426.90x = 33,640.08 × 6,844.57
  4. Step 4: Simplify right side
    22,426.90x = 230,251,882.37
  5. Step 5: Solve for x
    x = 230,251,882.37/22,426.90
  6. Step 6: Final answer
    x = 10,266.77

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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.