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Finding the Fourth Proportional to 17,201.28, 23,736.96 and 9,747.84

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Solution

The fourth proportional to 17,201.28, 23,736.96 and 9,747.84 is: 13,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.28 : 23,736.96 = 9,747.84 : x
  2. Step 2: Convert to fraction form
    17,201.28/23,736.96 = 9,747.84/x
  3. Step 3: Cross multiply
    17,201.28x = 23,736.96 × 9,747.84
  4. Step 4: Simplify right side
    17,201.28x = 231,384,088.17
  5. Step 5: Solve for x
    x = 231,384,088.17/17,201.28
  6. Step 6: Final answer
    x = 13,451.56

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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.