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Finding the Fourth Proportional to 17,009.44, 23,469.84 and 9,556

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Solution

The fourth proportional to 17,009.44, 23,469.84 and 9,556 is: 13,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009.44 : 23,469.84 = 9,556 : x
  2. Step 2: Convert to fraction form
    17,009.44/23,469.84 = 9,556/x
  3. Step 3: Cross multiply
    17,009.44x = 23,469.84 × 9,556
  4. Step 4: Simplify right side
    17,009.44x = 224,277,791.04
  5. Step 5: Solve for x
    x = 224,277,791.04/17,009.44
  6. Step 6: Final answer
    x = 13,185.49

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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.