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Finding the Fourth Proportional to 12,116, 18,174 and 3,231.36

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Solution

The fourth proportional to 12,116, 18,174 and 3,231.36 is: 4,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116 : 18,174 = 3,231.36 : x
  2. Step 2: Convert to fraction form
    12,116/18,174 = 3,231.36/x
  3. Step 3: Cross multiply
    12,116x = 18,174 × 3,231.36
  4. Step 4: Simplify right side
    12,116x = 58,726,736.64
  5. Step 5: Solve for x
    x = 58,726,736.64/12,116
  6. Step 6: Final answer
    x = 4,847.04

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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.