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Finding the Fourth Proportional to 12,757.67, 19,133.76 and 3,991.44

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Solution

The fourth proportional to 12,757.67, 19,133.76 and 3,991.44 is: 5,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.67 : 19,133.76 = 3,991.44 : x
  2. Step 2: Convert to fraction form
    12,757.67/19,133.76 = 3,991.44/x
  3. Step 3: Cross multiply
    12,757.67x = 19,133.76 × 3,991.44
  4. Step 4: Simplify right side
    12,757.67x = 76,371,255.01
  5. Step 5: Solve for x
    x = 76,371,255.01/12,757.67
  6. Step 6: Final answer
    x = 5,986.30

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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.