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Finding the Fourth Proportional to 20,222.56, 30,321.64 and 7,743.50

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Solution

The fourth proportional to 20,222.56, 30,321.64 and 7,743.50 is: 11,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.56 : 30,321.64 = 7,743.50 : x
  2. Step 2: Convert to fraction form
    20,222.56/30,321.64 = 7,743.50/x
  3. Step 3: Cross multiply
    20,222.56x = 30,321.64 × 7,743.50
  4. Step 4: Simplify right side
    20,222.56x = 234,795,591.12
  5. Step 5: Solve for x
    x = 234,795,591.12/20,222.56
  6. Step 6: Final answer
    x = 11,610.58

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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.