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Finding the Fourth Proportional to 21,524.17, 32,283.82 and 7,481.83

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Solution

The fourth proportional to 21,524.17, 32,283.82 and 7,481.83 is: 11,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.17 : 32,283.82 = 7,481.83 : x
  2. Step 2: Convert to fraction form
    21,524.17/32,283.82 = 7,481.83/x
  3. Step 3: Cross multiply
    21,524.17x = 32,283.82 × 7,481.83
  4. Step 4: Simplify right side
    21,524.17x = 241,542,052.99
  5. Step 5: Solve for x
    x = 241,542,052.99/21,524.17
  6. Step 6: Final answer
    x = 11,221.90

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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.