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Finding the Fourth Proportional to 20,067.94, 30,112.24 and 9,549.89

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Solution

The fourth proportional to 20,067.94, 30,112.24 and 9,549.89 is: 14,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.94 : 30,112.24 = 9,549.89 : x
  2. Step 2: Convert to fraction form
    20,067.94/30,112.24 = 9,549.89/x
  3. Step 3: Cross multiply
    20,067.94x = 30,112.24 × 9,549.89
  4. Step 4: Simplify right side
    20,067.94x = 287,568,579.65
  5. Step 5: Solve for x
    x = 287,568,579.65/20,067.94
  6. Step 6: Final answer
    x = 14,329.75

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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.