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Finding the Fourth Proportional to 23,891.84, 35,846.52 and 8,313.92

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Solution

The fourth proportional to 23,891.84, 35,846.52 and 8,313.92 is: 12,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.84 : 35,846.52 = 8,313.92 : x
  2. Step 2: Convert to fraction form
    23,891.84/35,846.52 = 8,313.92/x
  3. Step 3: Cross multiply
    23,891.84x = 35,846.52 × 8,313.92
  4. Step 4: Simplify right side
    23,891.84x = 298,025,099.56
  5. Step 5: Solve for x
    x = 298,025,099.56/23,891.84
  6. Step 6: Final answer
    x = 12,473.93

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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.