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Finding the Fourth Proportional to 16,183.14, 22,333.44 and 9,109.56

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Solution

The fourth proportional to 16,183.14, 22,333.44 and 9,109.56 is: 12,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.14 : 22,333.44 = 9,109.56 : x
  2. Step 2: Convert to fraction form
    16,183.14/22,333.44 = 9,109.56/x
  3. Step 3: Cross multiply
    16,183.14x = 22,333.44 × 9,109.56
  4. Step 4: Simplify right side
    16,183.14x = 203,447,811.69
  5. Step 5: Solve for x
    x = 203,447,811.69/16,183.14
  6. Step 6: Final answer
    x = 12,571.59

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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.