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Finding the Fourth Proportional to 12,185.92, 18,257.86 and 8,228.44

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Solution

The fourth proportional to 12,185.92, 18,257.86 and 8,228.44 is: 12,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.92 : 18,257.86 = 8,228.44 : x
  2. Step 2: Convert to fraction form
    12,185.92/18,257.86 = 8,228.44/x
  3. Step 3: Cross multiply
    12,185.92x = 18,257.86 × 8,228.44
  4. Step 4: Simplify right side
    12,185.92x = 150,233,705.54
  5. Step 5: Solve for x
    x = 150,233,705.54/12,185.92
  6. Step 6: Final answer
    x = 12,328.47

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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.