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Finding the Fourth Proportional to 20,197.71, 30,296.61 and 6,157.80

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Solution

The fourth proportional to 20,197.71, 30,296.61 and 6,157.80 is: 9,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.71 : 30,296.61 = 6,157.80 : x
  2. Step 2: Convert to fraction form
    20,197.71/30,296.61 = 6,157.80/x
  3. Step 3: Cross multiply
    20,197.71x = 30,296.61 × 6,157.80
  4. Step 4: Simplify right side
    20,197.71x = 186,560,465.06
  5. Step 5: Solve for x
    x = 186,560,465.06/20,197.71
  6. Step 6: Final answer
    x = 9,236.71

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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.