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Finding the Fourth Proportional to 12,073.38, 16,660.41 and 6,696.09

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Solution

The fourth proportional to 12,073.38, 16,660.41 and 6,696.09 is: 9,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.38 : 16,660.41 = 6,696.09 : x
  2. Step 2: Convert to fraction form
    12,073.38/16,660.41 = 6,696.09/x
  3. Step 3: Cross multiply
    12,073.38x = 16,660.41 × 6,696.09
  4. Step 4: Simplify right side
    12,073.38x = 111,559,604.80
  5. Step 5: Solve for x
    x = 111,559,604.80/12,073.38
  6. Step 6: Final answer
    x = 9,240.13

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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.