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Finding the Fourth Proportional to 23,884.25, 35,829.61 and 8,299.85

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Solution

The fourth proportional to 23,884.25, 35,829.61 and 8,299.85 is: 12,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.25 : 35,829.61 = 8,299.85 : x
  2. Step 2: Convert to fraction form
    23,884.25/35,829.61 = 8,299.85/x
  3. Step 3: Cross multiply
    23,884.25x = 35,829.61 × 8,299.85
  4. Step 4: Simplify right side
    23,884.25x = 297,380,188.66
  5. Step 5: Solve for x
    x = 297,380,188.66/23,884.25
  6. Step 6: Final answer
    x = 12,450.89

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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.