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Finding the Fourth Proportional to 21,834, 32,751 and 7,983

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Solution

The fourth proportional to 21,834, 32,751 and 7,983 is: 11,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834 : 32,751 = 7,983 : x
  2. Step 2: Convert to fraction form
    21,834/32,751 = 7,983/x
  3. Step 3: Cross multiply
    21,834x = 32,751 × 7,983
  4. Step 4: Simplify right side
    21,834x = 261,451,233
  5. Step 5: Solve for x
    x = 261,451,233/21,834
  6. Step 6: Final answer
    x = 11,974.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.