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Finding the Fourth Proportional to 18,563.43, 27,846.09 and 5,416.80

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Solution

The fourth proportional to 18,563.43, 27,846.09 and 5,416.80 is: 8,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.43 : 27,846.09 = 5,416.80 : x
  2. Step 2: Convert to fraction form
    18,563.43/27,846.09 = 5,416.80/x
  3. Step 3: Cross multiply
    18,563.43x = 27,846.09 × 5,416.80
  4. Step 4: Simplify right side
    18,563.43x = 150,836,700.31
  5. Step 5: Solve for x
    x = 150,836,700.31/18,563.43
  6. Step 6: Final answer
    x = 8,125.48

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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.