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Finding the Fourth Proportional to 12,153.72, 18,227.94 and 3,832.68

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Solution

The fourth proportional to 12,153.72, 18,227.94 and 3,832.68 is: 5,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.72 : 18,227.94 = 3,832.68 : x
  2. Step 2: Convert to fraction form
    12,153.72/18,227.94 = 3,832.68/x
  3. Step 3: Cross multiply
    12,153.72x = 18,227.94 × 3,832.68
  4. Step 4: Simplify right side
    12,153.72x = 69,861,861.08
  5. Step 5: Solve for x
    x = 69,861,861.08/12,153.72
  6. Step 6: Final answer
    x = 5,748.19

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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.