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Finding the Fourth Proportional to 16,183.26, 22,331.90 and 9,109.13

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Solution

The fourth proportional to 16,183.26, 22,331.90 and 9,109.13 is: 12,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.26 : 22,331.90 = 9,109.13 : x
  2. Step 2: Convert to fraction form
    16,183.26/22,331.90 = 9,109.13/x
  3. Step 3: Cross multiply
    16,183.26x = 22,331.90 × 9,109.13
  4. Step 4: Simplify right side
    16,183.26x = 203,424,091.36
  5. Step 5: Solve for x
    x = 203,424,091.36/16,183.26
  6. Step 6: Final answer
    x = 12,570.03

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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.