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Finding the Fourth Proportional to 13,696.98, 20,546.49 and 3,836.13

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Solution

The fourth proportional to 13,696.98, 20,546.49 and 3,836.13 is: 5,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.98 : 20,546.49 = 3,836.13 : x
  2. Step 2: Convert to fraction form
    13,696.98/20,546.49 = 3,836.13/x
  3. Step 3: Cross multiply
    13,696.98x = 20,546.49 × 3,836.13
  4. Step 4: Simplify right side
    13,696.98x = 78,819,006.68
  5. Step 5: Solve for x
    x = 78,819,006.68/13,696.98
  6. Step 6: Final answer
    x = 5,754.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.