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Finding the Fourth Proportional to 23,249.46, 32,083.56 and 12,638.82

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Solution

The fourth proportional to 23,249.46, 32,083.56 and 12,638.82 is: 17,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249.46 : 32,083.56 = 12,638.82 : x
  2. Step 2: Convert to fraction form
    23,249.46/32,083.56 = 12,638.82/x
  3. Step 3: Cross multiply
    23,249.46x = 32,083.56 × 12,638.82
  4. Step 4: Simplify right side
    23,249.46x = 405,498,339.80
  5. Step 5: Solve for x
    x = 405,498,339.80/23,249.46
  6. Step 6: Final answer
    x = 17,441.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.