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Finding the Fourth Proportional to 16,843.28, 23,238.54 and 9,768.33

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Solution

The fourth proportional to 16,843.28, 23,238.54 and 9,768.33 is: 13,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.28 : 23,238.54 = 9,768.33 : x
  2. Step 2: Convert to fraction form
    16,843.28/23,238.54 = 9,768.33/x
  3. Step 3: Cross multiply
    16,843.28x = 23,238.54 × 9,768.33
  4. Step 4: Simplify right side
    16,843.28x = 227,001,727.44
  5. Step 5: Solve for x
    x = 227,001,727.44/16,843.28
  6. Step 6: Final answer
    x = 13,477.29

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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.