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Finding the Fourth Proportional to 12,204, 16,835.04 and 8,218.32

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Solution

The fourth proportional to 12,204, 16,835.04 and 8,218.32 is: 11,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204 : 16,835.04 = 8,218.32 : x
  2. Step 2: Convert to fraction form
    12,204/16,835.04 = 8,218.32/x
  3. Step 3: Cross multiply
    12,204x = 16,835.04 × 8,218.32
  4. Step 4: Simplify right side
    12,204x = 138,355,745.93
  5. Step 5: Solve for x
    x = 138,355,745.93/12,204
  6. Step 6: Final answer
    x = 11,336.92

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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.