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Finding the Fourth Proportional to 12,186.41, 16,817.24 and 6,881.57

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Solution

The fourth proportional to 12,186.41, 16,817.24 and 6,881.57 is: 9,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.41 : 16,817.24 = 6,881.57 : x
  2. Step 2: Convert to fraction form
    12,186.41/16,817.24 = 6,881.57/x
  3. Step 3: Cross multiply
    12,186.41x = 16,817.24 × 6,881.57
  4. Step 4: Simplify right side
    12,186.41x = 115,728,947.38
  5. Step 5: Solve for x
    x = 115,728,947.38/12,186.41
  6. Step 6: Final answer
    x = 9,496.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.