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Finding the Fourth Proportional to 16,178.82, 24,268 and 5,086.18

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Solution

The fourth proportional to 16,178.82, 24,268 and 5,086.18 is: 7,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.82 : 24,268 = 5,086.18 : x
  2. Step 2: Convert to fraction form
    16,178.82/24,268 = 5,086.18/x
  3. Step 3: Cross multiply
    16,178.82x = 24,268 × 5,086.18
  4. Step 4: Simplify right side
    16,178.82x = 123,431,416.24
  5. Step 5: Solve for x
    x = 123,431,416.24/16,178.82
  6. Step 6: Final answer
    x = 7,629.20

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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.