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Finding the Fourth Proportional to 21,835.50, 32,758.20 and 7,984.50

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Solution

The fourth proportional to 21,835.50, 32,758.20 and 7,984.50 is: 11,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,835.50 : 32,758.20 = 7,984.50 : x
  2. Step 2: Convert to fraction form
    21,835.50/32,758.20 = 7,984.50/x
  3. Step 3: Cross multiply
    21,835.50x = 32,758.20 × 7,984.50
  4. Step 4: Simplify right side
    21,835.50x = 261,557,847.90
  5. Step 5: Solve for x
    x = 261,557,847.90/21,835.50
  6. Step 6: Final answer
    x = 11,978.56

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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.