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Finding the Fourth Proportional to 10,067.37, 15,033.25 and 8,222.14

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Solution

The fourth proportional to 10,067.37, 15,033.25 and 8,222.14 is: 12,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.37 : 15,033.25 = 8,222.14 : x
  2. Step 2: Convert to fraction form
    10,067.37/15,033.25 = 8,222.14/x
  3. Step 3: Cross multiply
    10,067.37x = 15,033.25 × 8,222.14
  4. Step 4: Simplify right side
    10,067.37x = 123,605,486.16
  5. Step 5: Solve for x
    x = 123,605,486.16/10,067.37
  6. Step 6: Final answer
    x = 12,277.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.