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Finding the Fourth Proportional to 12,762.67, 19,144.01 and 3,998.27

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Solution

The fourth proportional to 12,762.67, 19,144.01 and 3,998.27 is: 5,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.67 : 19,144.01 = 3,998.27 : x
  2. Step 2: Convert to fraction form
    12,762.67/19,144.01 = 3,998.27/x
  3. Step 3: Cross multiply
    12,762.67x = 19,144.01 × 3,998.27
  4. Step 4: Simplify right side
    12,762.67x = 76,542,920.86
  5. Step 5: Solve for x
    x = 76,542,920.86/12,762.67
  6. Step 6: Final answer
    x = 5,997.41

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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.