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Finding the Fourth Proportional to 12,198.80, 16,834.10 and 6,893.84

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Solution

The fourth proportional to 12,198.80, 16,834.10 and 6,893.84 is: 9,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.80 : 16,834.10 = 6,893.84 : x
  2. Step 2: Convert to fraction form
    12,198.80/16,834.10 = 6,893.84/x
  3. Step 3: Cross multiply
    12,198.80x = 16,834.10 × 6,893.84
  4. Step 4: Simplify right side
    12,198.80x = 116,051,591.94
  5. Step 5: Solve for x
    x = 116,051,591.94/12,198.80
  6. Step 6: Final answer
    x = 9,513.36

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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.