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Finding the Fourth Proportional to 16,183.84, 22,333.02 and 9,110

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Solution

The fourth proportional to 16,183.84, 22,333.02 and 9,110 is: 12,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.84 : 22,333.02 = 9,110 : x
  2. Step 2: Convert to fraction form
    16,183.84/22,333.02 = 9,110/x
  3. Step 3: Cross multiply
    16,183.84x = 22,333.02 × 9,110
  4. Step 4: Simplify right side
    16,183.84x = 203,453,812.20
  5. Step 5: Solve for x
    x = 203,453,812.20/16,183.84
  6. Step 6: Final answer
    x = 12,571.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.