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Finding the Fourth Proportional to 15,893.67, 23,814.57 and 8,091.75

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Solution

The fourth proportional to 15,893.67, 23,814.57 and 8,091.75 is: 12,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.67 : 23,814.57 = 8,091.75 : x
  2. Step 2: Convert to fraction form
    15,893.67/23,814.57 = 8,091.75/x
  3. Step 3: Cross multiply
    15,893.67x = 23,814.57 × 8,091.75
  4. Step 4: Simplify right side
    15,893.67x = 192,701,546.80
  5. Step 5: Solve for x
    x = 192,701,546.80/15,893.67
  6. Step 6: Final answer
    x = 12,124.42

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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.