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Finding the Fourth Proportional to 22,512.44, 31,067.81 and 12,441.54

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Solution

The fourth proportional to 22,512.44, 31,067.81 and 12,441.54 is: 17,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512.44 : 31,067.81 = 12,441.54 : x
  2. Step 2: Convert to fraction form
    22,512.44/31,067.81 = 12,441.54/x
  3. Step 3: Cross multiply
    22,512.44x = 31,067.81 × 12,441.54
  4. Step 4: Simplify right side
    22,512.44x = 386,531,400.83
  5. Step 5: Solve for x
    x = 386,531,400.83/22,512.44
  6. Step 6: Final answer
    x = 17,169.68

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