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Finding the Fourth Proportional to 12,832.66, 19,249.54 and 4,067.38

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Solution

The fourth proportional to 12,832.66, 19,249.54 and 4,067.38 is: 6,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.66 : 19,249.54 = 4,067.38 : x
  2. Step 2: Convert to fraction form
    12,832.66/19,249.54 = 4,067.38/x
  3. Step 3: Cross multiply
    12,832.66x = 19,249.54 × 4,067.38
  4. Step 4: Simplify right side
    12,832.66x = 78,295,194.01
  5. Step 5: Solve for x
    x = 78,295,194.01/12,832.66
  6. Step 6: Final answer
    x = 6,101.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.