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Finding the Fourth Proportional to 16,183.41, 22,331.21 and 9,109.41

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Solution

The fourth proportional to 16,183.41, 22,331.21 and 9,109.41 is: 12,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.41 : 22,331.21 = 9,109.41 : x
  2. Step 2: Convert to fraction form
    16,183.41/22,331.21 = 9,109.41/x
  3. Step 3: Cross multiply
    16,183.41x = 22,331.21 × 9,109.41
  4. Step 4: Simplify right side
    16,183.41x = 203,424,102.14
  5. Step 5: Solve for x
    x = 203,424,102.14/16,183.41
  6. Step 6: Final answer
    x = 12,569.92

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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.