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Finding the Fourth Proportional to 20,194.14, 30,296.10 and 6,343.14

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Solution

The fourth proportional to 20,194.14, 30,296.10 and 6,343.14 is: 9,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.14 : 30,296.10 = 6,343.14 : x
  2. Step 2: Convert to fraction form
    20,194.14/30,296.10 = 6,343.14/x
  3. Step 3: Cross multiply
    20,194.14x = 30,296.10 × 6,343.14
  4. Step 4: Simplify right side
    20,194.14x = 192,172,403.75
  5. Step 5: Solve for x
    x = 192,172,403.75/20,194.14
  6. Step 6: Final answer
    x = 9,516.25

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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.