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Finding the Fourth Proportional to 21,249.39, 31,872.87 and 8,103.09

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Solution

The fourth proportional to 21,249.39, 31,872.87 and 8,103.09 is: 12,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249.39 : 31,872.87 = 8,103.09 : x
  2. Step 2: Convert to fraction form
    21,249.39/31,872.87 = 8,103.09/x
  3. Step 3: Cross multiply
    21,249.39x = 31,872.87 × 8,103.09
  4. Step 4: Simplify right side
    21,249.39x = 258,268,734.17
  5. Step 5: Solve for x
    x = 258,268,734.17/21,249.39
  6. Step 6: Final answer
    x = 12,154.17

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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.