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Finding the Fourth Proportional to 17,149.96, 23,667.30 and 9,596.44

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Solution

The fourth proportional to 17,149.96, 23,667.30 and 9,596.44 is: 13,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.96 : 23,667.30 = 9,596.44 : x
  2. Step 2: Convert to fraction form
    17,149.96/23,667.30 = 9,596.44/x
  3. Step 3: Cross multiply
    17,149.96x = 23,667.30 × 9,596.44
  4. Step 4: Simplify right side
    17,149.96x = 227,121,824.41
  5. Step 5: Solve for x
    x = 227,121,824.41/17,149.96
  6. Step 6: Final answer
    x = 13,243.29

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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.