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Finding the Fourth Proportional to 12,732.25, 17,571.56 and 7,067.58

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Solution

The fourth proportional to 12,732.25, 17,571.56 and 7,067.58 is: 9,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.25 : 17,571.56 = 7,067.58 : x
  2. Step 2: Convert to fraction form
    12,732.25/17,571.56 = 7,067.58/x
  3. Step 3: Cross multiply
    12,732.25x = 17,571.56 × 7,067.58
  4. Step 4: Simplify right side
    12,732.25x = 124,188,374.09
  5. Step 5: Solve for x
    x = 124,188,374.09/12,732.25
  6. Step 6: Final answer
    x = 9,753.84

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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.