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Finding the Fourth Proportional to 16,796.36, 23,180.49 and 9,244.16

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Solution

The fourth proportional to 16,796.36, 23,180.49 and 9,244.16 is: 12,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,796.36 : 23,180.49 = 9,244.16 : x
  2. Step 2: Convert to fraction form
    16,796.36/23,180.49 = 9,244.16/x
  3. Step 3: Cross multiply
    16,796.36x = 23,180.49 × 9,244.16
  4. Step 4: Simplify right side
    16,796.36x = 214,284,158.44
  5. Step 5: Solve for x
    x = 214,284,158.44/16,796.36
  6. Step 6: Final answer
    x = 12,757.77

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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.