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Finding the Fourth Proportional to 23,685.86, 35,532.30 and 8,099.84

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Solution

The fourth proportional to 23,685.86, 35,532.30 and 8,099.84 is: 12,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.86 : 35,532.30 = 8,099.84 : x
  2. Step 2: Convert to fraction form
    23,685.86/35,532.30 = 8,099.84/x
  3. Step 3: Cross multiply
    23,685.86x = 35,532.30 × 8,099.84
  4. Step 4: Simplify right side
    23,685.86x = 287,805,944.83
  5. Step 5: Solve for x
    x = 287,805,944.83/23,685.86
  6. Step 6: Final answer
    x = 12,150.96

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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.