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Finding the Fourth Proportional to 21,711, 29,961.24 and 11,775

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Solution

The fourth proportional to 21,711, 29,961.24 and 11,775 is: 16,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711 : 29,961.24 = 11,775 : x
  2. Step 2: Convert to fraction form
    21,711/29,961.24 = 11,775/x
  3. Step 3: Cross multiply
    21,711x = 29,961.24 × 11,775
  4. Step 4: Simplify right side
    21,711x = 352,793,601
  5. Step 5: Solve for x
    x = 352,793,601/21,711
  6. Step 6: Final answer
    x = 16,249.53

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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.