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Finding the Fourth Proportional to 22,471.38, 31,010.46 and 12,400.44

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Solution

The fourth proportional to 22,471.38, 31,010.46 and 12,400.44 is: 17,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.38 : 31,010.46 = 12,400.44 : x
  2. Step 2: Convert to fraction form
    22,471.38/31,010.46 = 12,400.44/x
  3. Step 3: Cross multiply
    22,471.38x = 31,010.46 × 12,400.44
  4. Step 4: Simplify right side
    22,471.38x = 384,543,348.60
  5. Step 5: Solve for x
    x = 384,543,348.60/22,471.38
  6. Step 6: Final answer
    x = 17,112.58

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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.