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Finding the Fourth Proportional to 23,137.53, 31,930.45 and 13,067.49

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Solution

The fourth proportional to 23,137.53, 31,930.45 and 13,067.49 is: 18,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.53 : 31,930.45 = 13,067.49 : x
  2. Step 2: Convert to fraction form
    23,137.53/31,930.45 = 13,067.49/x
  3. Step 3: Cross multiply
    23,137.53x = 31,930.45 × 13,067.49
  4. Step 4: Simplify right side
    23,137.53x = 417,250,836.07
  5. Step 5: Solve for x
    x = 417,250,836.07/23,137.53
  6. Step 6: Final answer
    x = 18,033.51

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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.