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Finding the Fourth Proportional to 17,201.36, 23,738.82 and 9,650.09

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Solution

The fourth proportional to 17,201.36, 23,738.82 and 9,650.09 is: 13,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.36 : 23,738.82 = 9,650.09 : x
  2. Step 2: Convert to fraction form
    17,201.36/23,738.82 = 9,650.09/x
  3. Step 3: Cross multiply
    17,201.36x = 23,738.82 × 9,650.09
  4. Step 4: Simplify right side
    17,201.36x = 229,081,693.40
  5. Step 5: Solve for x
    x = 229,081,693.40/17,201.36
  6. Step 6: Final answer
    x = 13,317.65

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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.