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Finding the Fourth Proportional to 22,626.17, 33,943.68 and 6,832.49

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Solution

The fourth proportional to 22,626.17, 33,943.68 and 6,832.49 is: 10,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.17 : 33,943.68 = 6,832.49 : x
  2. Step 2: Convert to fraction form
    22,626.17/33,943.68 = 6,832.49/x
  3. Step 3: Cross multiply
    22,626.17x = 33,943.68 × 6,832.49
  4. Step 4: Simplify right side
    22,626.17x = 231,919,846.86
  5. Step 5: Solve for x
    x = 231,919,846.86/22,626.17
  6. Step 6: Final answer
    x = 10,250.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.