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Finding the Fourth Proportional to 16,162, 24,243 and 5,218

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Solution

The fourth proportional to 16,162, 24,243 and 5,218 is: 7,827

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162 : 24,243 = 5,218 : x
  2. Step 2: Convert to fraction form
    16,162/24,243 = 5,218/x
  3. Step 3: Cross multiply
    16,162x = 24,243 × 5,218
  4. Step 4: Simplify right side
    16,162x = 126,499,974
  5. Step 5: Solve for x
    x = 126,499,974/16,162
  6. Step 6: Final answer
    x = 7,827

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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.