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Finding the Fourth Proportional to 20,194.75, 30,292.14 and 6,343.75

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Solution

The fourth proportional to 20,194.75, 30,292.14 and 6,343.75 is: 9,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.75 : 30,292.14 = 6,343.75 : x
  2. Step 2: Convert to fraction form
    20,194.75/30,292.14 = 6,343.75/x
  3. Step 3: Cross multiply
    20,194.75x = 30,292.14 × 6,343.75
  4. Step 4: Simplify right side
    20,194.75x = 192,165,824.78
  5. Step 5: Solve for x
    x = 192,165,824.78/20,194.75
  6. Step 6: Final answer
    x = 9,515.63

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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.