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Finding the Fourth Proportional to 20,194.50, 30,296.67 and 6,343.50

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Solution

The fourth proportional to 20,194.50, 30,296.67 and 6,343.50 is: 9,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.50 : 30,296.67 = 6,343.50 : x
  2. Step 2: Convert to fraction form
    20,194.50/30,296.67 = 6,343.50/x
  3. Step 3: Cross multiply
    20,194.50x = 30,296.67 × 6,343.50
  4. Step 4: Simplify right side
    20,194.50x = 192,186,926.15
  5. Step 5: Solve for x
    x = 192,186,926.15/20,194.50
  6. Step 6: Final answer
    x = 9,516.80

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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.