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Finding the Fourth Proportional to 12,067.71, 16,649.52 and 7,822.09

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Solution

The fourth proportional to 12,067.71, 16,649.52 and 7,822.09 is: 10,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,067.71 : 16,649.52 = 7,822.09 : x
  2. Step 2: Convert to fraction form
    12,067.71/16,649.52 = 7,822.09/x
  3. Step 3: Cross multiply
    12,067.71x = 16,649.52 × 7,822.09
  4. Step 4: Simplify right side
    12,067.71x = 130,234,148.20
  5. Step 5: Solve for x
    x = 130,234,148.20/12,067.71
  6. Step 6: Final answer
    x = 10,791.95

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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.