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Finding the Fourth Proportional to 16,122.08, 24,183.48 and 9,182

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Solution

The fourth proportional to 16,122.08, 24,183.48 and 9,182 is: 13,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.08 : 24,183.48 = 9,182 : x
  2. Step 2: Convert to fraction form
    16,122.08/24,183.48 = 9,182/x
  3. Step 3: Cross multiply
    16,122.08x = 24,183.48 × 9,182
  4. Step 4: Simplify right side
    16,122.08x = 222,052,713.36
  5. Step 5: Solve for x
    x = 222,052,713.36/16,122.08
  6. Step 6: Final answer
    x = 13,773.21

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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.