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Finding the Fourth Proportional to 12,305.37, 18,451.17 and 3,983.43

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Solution

The fourth proportional to 12,305.37, 18,451.17 and 3,983.43 is: 5,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.37 : 18,451.17 = 3,983.43 : x
  2. Step 2: Convert to fraction form
    12,305.37/18,451.17 = 3,983.43/x
  3. Step 3: Cross multiply
    12,305.37x = 18,451.17 × 3,983.43
  4. Step 4: Simplify right side
    12,305.37x = 73,498,944.11
  5. Step 5: Solve for x
    x = 73,498,944.11/12,305.37
  6. Step 6: Final answer
    x = 5,972.92

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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.