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Finding the Fourth Proportional to 23,894.67, 35,847.36 and 8,098.77

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Solution

The fourth proportional to 23,894.67, 35,847.36 and 8,098.77 is: 12,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.67 : 35,847.36 = 8,098.77 : x
  2. Step 2: Convert to fraction form
    23,894.67/35,847.36 = 8,098.77/x
  3. Step 3: Cross multiply
    23,894.67x = 35,847.36 × 8,098.77
  4. Step 4: Simplify right side
    23,894.67x = 290,319,523.75
  5. Step 5: Solve for x
    x = 290,319,523.75/23,894.67
  6. Step 6: Final answer
    x = 12,149.97

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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.