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Finding the Fourth Proportional to 23,137.78, 31,930.79 and 13,067.73

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Solution

The fourth proportional to 23,137.78, 31,930.79 and 13,067.73 is: 18,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.78 : 31,930.79 = 13,067.73 : x
  2. Step 2: Convert to fraction form
    23,137.78/31,930.79 = 13,067.73/x
  3. Step 3: Cross multiply
    23,137.78x = 31,930.79 × 13,067.73
  4. Step 4: Simplify right side
    23,137.78x = 417,262,942.41
  5. Step 5: Solve for x
    x = 417,262,942.41/23,137.78
  6. Step 6: Final answer
    x = 18,033.84

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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.