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Finding the Fourth Proportional to 12,163.99, 16,796.55 and 8,198.23

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Solution

The fourth proportional to 12,163.99, 16,796.55 and 8,198.23 is: 11,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.99 : 16,796.55 = 8,198.23 : x
  2. Step 2: Convert to fraction form
    12,163.99/16,796.55 = 8,198.23/x
  3. Step 3: Cross multiply
    12,163.99x = 16,796.55 × 8,198.23
  4. Step 4: Simplify right side
    12,163.99x = 137,701,980.11
  5. Step 5: Solve for x
    x = 137,701,980.11/12,163.99
  6. Step 6: Final answer
    x = 11,320.46

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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.