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Finding the Fourth Proportional to 20,224.42, 30,323.94 and 6,179.78

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Solution

The fourth proportional to 20,224.42, 30,323.94 and 6,179.78 is: 9,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.42 : 30,323.94 = 6,179.78 : x
  2. Step 2: Convert to fraction form
    20,224.42/30,323.94 = 6,179.78/x
  3. Step 3: Cross multiply
    20,224.42x = 30,323.94 × 6,179.78
  4. Step 4: Simplify right side
    20,224.42x = 187,395,212.14
  5. Step 5: Solve for x
    x = 187,395,212.14/20,224.42
  6. Step 6: Final answer
    x = 9,265.79

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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.