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Finding the Fourth Proportional to 18,563.82, 27,832.49 and 8,697.72

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Solution

The fourth proportional to 18,563.82, 27,832.49 and 8,697.72 is: 13,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.82 : 27,832.49 = 8,697.72 : x
  2. Step 2: Convert to fraction form
    18,563.82/27,832.49 = 8,697.72/x
  3. Step 3: Cross multiply
    18,563.82x = 27,832.49 × 8,697.72
  4. Step 4: Simplify right side
    18,563.82x = 242,079,161.43
  5. Step 5: Solve for x
    x = 242,079,161.43/18,563.82
  6. Step 6: Final answer
    x = 13,040.37

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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.