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Finding the Fourth Proportional to 12,227.75, 18,323.40 and 7,841.60

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Solution

The fourth proportional to 12,227.75, 18,323.40 and 7,841.60 is: 11,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.75 : 18,323.40 = 7,841.60 : x
  2. Step 2: Convert to fraction form
    12,227.75/18,323.40 = 7,841.60/x
  3. Step 3: Cross multiply
    12,227.75x = 18,323.40 × 7,841.60
  4. Step 4: Simplify right side
    12,227.75x = 143,684,773.44
  5. Step 5: Solve for x
    x = 143,684,773.44/12,227.75
  6. Step 6: Final answer
    x = 11,750.71

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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.