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Finding the Fourth Proportional to 12,231.91, 18,338.88 and 3,907.14

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Solution

The fourth proportional to 12,231.91, 18,338.88 and 3,907.14 is: 5,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.91 : 18,338.88 = 3,907.14 : x
  2. Step 2: Convert to fraction form
    12,231.91/18,338.88 = 3,907.14/x
  3. Step 3: Cross multiply
    12,231.91x = 18,338.88 × 3,907.14
  4. Step 4: Simplify right side
    12,231.91x = 71,652,571.60
  5. Step 5: Solve for x
    x = 71,652,571.60/12,231.91
  6. Step 6: Final answer
    x = 5,857.84

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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.