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Finding the Fourth Proportional to 20,993.68, 31,485.48 and 6,198.60

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Solution

The fourth proportional to 20,993.68, 31,485.48 and 6,198.60 is: 9,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.68 : 31,485.48 = 6,198.60 : x
  2. Step 2: Convert to fraction form
    20,993.68/31,485.48 = 6,198.60/x
  3. Step 3: Cross multiply
    20,993.68x = 31,485.48 × 6,198.60
  4. Step 4: Simplify right side
    20,993.68x = 195,165,896.33
  5. Step 5: Solve for x
    x = 195,165,896.33/20,993.68
  6. Step 6: Final answer
    x = 9,296.41

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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.