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Finding the Fourth Proportional to 22,822.38, 31,491.05 and 12,750.44

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Solution

The fourth proportional to 22,822.38, 31,491.05 and 12,750.44 is: 17,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.38 : 31,491.05 = 12,750.44 : x
  2. Step 2: Convert to fraction form
    22,822.38/31,491.05 = 12,750.44/x
  3. Step 3: Cross multiply
    22,822.38x = 31,491.05 × 12,750.44
  4. Step 4: Simplify right side
    22,822.38x = 401,524,522.35
  5. Step 5: Solve for x
    x = 401,524,522.35/22,822.38
  6. Step 6: Final answer
    x = 17,593.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.