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Finding the Fourth Proportional to 12,198.47, 16,833.08 and 6,893.17

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Solution

The fourth proportional to 12,198.47, 16,833.08 and 6,893.17 is: 9,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.47 : 16,833.08 = 6,893.17 : x
  2. Step 2: Convert to fraction form
    12,198.47/16,833.08 = 6,893.17/x
  3. Step 3: Cross multiply
    12,198.47x = 16,833.08 × 6,893.17
  4. Step 4: Simplify right side
    12,198.47x = 116,033,257.21
  5. Step 5: Solve for x
    x = 116,033,257.21/12,198.47
  6. Step 6: Final answer
    x = 9,512.12

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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.