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Finding the Fourth Proportional to 21,843.50, 32,770.20 and 7,992.50

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Solution

The fourth proportional to 21,843.50, 32,770.20 and 7,992.50 is: 11,990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.50 : 32,770.20 = 7,992.50 : x
  2. Step 2: Convert to fraction form
    21,843.50/32,770.20 = 7,992.50/x
  3. Step 3: Cross multiply
    21,843.50x = 32,770.20 × 7,992.50
  4. Step 4: Simplify right side
    21,843.50x = 261,915,823.50
  5. Step 5: Solve for x
    x = 261,915,823.50/21,843.50
  6. Step 6: Final answer
    x = 11,990.56

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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.