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Finding the Fourth Proportional to 13,696.73, 20,543.50 and 3,836.80

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Solution

The fourth proportional to 13,696.73, 20,543.50 and 3,836.80 is: 5,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.73 : 20,543.50 = 3,836.80 : x
  2. Step 2: Convert to fraction form
    13,696.73/20,543.50 = 3,836.80/x
  3. Step 3: Cross multiply
    13,696.73x = 20,543.50 × 3,836.80
  4. Step 4: Simplify right side
    13,696.73x = 78,821,239.85
  5. Step 5: Solve for x
    x = 78,821,239.85/13,696.73
  6. Step 6: Final answer
    x = 5,754.75

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