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Finding the Fourth Proportional to 12,196.45, 16,817.75 and 7,939.66

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Solution

The fourth proportional to 12,196.45, 16,817.75 and 7,939.66 is: 10,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.45 : 16,817.75 = 7,939.66 : x
  2. Step 2: Convert to fraction form
    12,196.45/16,817.75 = 7,939.66/x
  3. Step 3: Cross multiply
    12,196.45x = 16,817.75 × 7,939.66
  4. Step 4: Simplify right side
    12,196.45x = 133,527,251.39
  5. Step 5: Solve for x
    x = 133,527,251.39/12,196.45
  6. Step 6: Final answer
    x = 10,948.04

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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.