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Finding the Fourth Proportional to 23,861.80, 35,783.58 and 7,847.61

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Solution

The fourth proportional to 23,861.80, 35,783.58 and 7,847.61 is: 11,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.80 : 35,783.58 = 7,847.61 : x
  2. Step 2: Convert to fraction form
    23,861.80/35,783.58 = 7,847.61/x
  3. Step 3: Cross multiply
    23,861.80x = 35,783.58 × 7,847.61
  4. Step 4: Simplify right side
    23,861.80x = 280,815,580.24
  5. Step 5: Solve for x
    x = 280,815,580.24/23,861.80
  6. Step 6: Final answer
    x = 11,768.42

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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.