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Finding the Fourth Proportional to 23,812.64, 35,727.60 and 8,231.84

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Solution

The fourth proportional to 23,812.64, 35,727.60 and 8,231.84 is: 12,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.64 : 35,727.60 = 8,231.84 : x
  2. Step 2: Convert to fraction form
    23,812.64/35,727.60 = 8,231.84/x
  3. Step 3: Cross multiply
    23,812.64x = 35,727.60 × 8,231.84
  4. Step 4: Simplify right side
    23,812.64x = 294,103,886.78
  5. Step 5: Solve for x
    x = 294,103,886.78/23,812.64
  6. Step 6: Final answer
    x = 12,350.75

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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.