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Finding the Fourth Proportional to 12,152.39, 18,228.97 and 3,832.48

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Solution

The fourth proportional to 12,152.39, 18,228.97 and 3,832.48 is: 5,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.39 : 18,228.97 = 3,832.48 : x
  2. Step 2: Convert to fraction form
    12,152.39/18,228.97 = 3,832.48/x
  3. Step 3: Cross multiply
    12,152.39x = 18,228.97 × 3,832.48
  4. Step 4: Simplify right side
    12,152.39x = 69,862,190.52
  5. Step 5: Solve for x
    x = 69,862,190.52/12,152.39
  6. Step 6: Final answer
    x = 5,748.85

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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.