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Finding the Fourth Proportional to 17,201.70, 23,739.69 and 9,649.73

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Solution

The fourth proportional to 17,201.70, 23,739.69 and 9,649.73 is: 13,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.70 : 23,739.69 = 9,649.73 : x
  2. Step 2: Convert to fraction form
    17,201.70/23,739.69 = 9,649.73/x
  3. Step 3: Cross multiply
    17,201.70x = 23,739.69 × 9,649.73
  4. Step 4: Simplify right side
    17,201.70x = 229,081,480.09
  5. Step 5: Solve for x
    x = 229,081,480.09/17,201.70
  6. Step 6: Final answer
    x = 13,317.37

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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.