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Finding the Fourth Proportional to 16,183.64, 22,334.24 and 9,110.84

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Solution

The fourth proportional to 16,183.64, 22,334.24 and 9,110.84 is: 12,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.64 : 22,334.24 = 9,110.84 : x
  2. Step 2: Convert to fraction form
    16,183.64/22,334.24 = 9,110.84/x
  3. Step 3: Cross multiply
    16,183.64x = 22,334.24 × 9,110.84
  4. Step 4: Simplify right side
    16,183.64x = 203,483,687.16
  5. Step 5: Solve for x
    x = 203,483,687.16/16,183.64
  6. Step 6: Final answer
    x = 12,573.42

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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.