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Finding the Fourth Proportional to 16,067.57, 22,174.10 and 10,097.03

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Solution

The fourth proportional to 16,067.57, 22,174.10 and 10,097.03 is: 13,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.57 : 22,174.10 = 10,097.03 : x
  2. Step 2: Convert to fraction form
    16,067.57/22,174.10 = 10,097.03/x
  3. Step 3: Cross multiply
    16,067.57x = 22,174.10 × 10,097.03
  4. Step 4: Simplify right side
    16,067.57x = 223,892,552.92
  5. Step 5: Solve for x
    x = 223,892,552.92/16,067.57
  6. Step 6: Final answer
    x = 13,934.44

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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.