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Finding the Fourth Proportional to 12,882.92, 19,327.40 and 3,997.80

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Solution

The fourth proportional to 12,882.92, 19,327.40 and 3,997.80 is: 5,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.92 : 19,327.40 = 3,997.80 : x
  2. Step 2: Convert to fraction form
    12,882.92/19,327.40 = 3,997.80/x
  3. Step 3: Cross multiply
    12,882.92x = 19,327.40 × 3,997.80
  4. Step 4: Simplify right side
    12,882.92x = 77,267,079.72
  5. Step 5: Solve for x
    x = 77,267,079.72/12,882.92
  6. Step 6: Final answer
    x = 5,997.64

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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.