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Finding the Fourth Proportional to 12,277.54, 18,419.15 and 3,843.57

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Solution

The fourth proportional to 12,277.54, 18,419.15 and 3,843.57 is: 5,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.54 : 18,419.15 = 3,843.57 : x
  2. Step 2: Convert to fraction form
    12,277.54/18,419.15 = 3,843.57/x
  3. Step 3: Cross multiply
    12,277.54x = 18,419.15 × 3,843.57
  4. Step 4: Simplify right side
    12,277.54x = 70,795,371.05
  5. Step 5: Solve for x
    x = 70,795,371.05/12,277.54
  6. Step 6: Final answer
    x = 5,766.25

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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.