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Finding the Fourth Proportional to 23,965.26, 35,923.23 and 9,170.16

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Solution

The fourth proportional to 23,965.26, 35,923.23 and 9,170.16 is: 13,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965.26 : 35,923.23 = 9,170.16 : x
  2. Step 2: Convert to fraction form
    23,965.26/35,923.23 = 9,170.16/x
  3. Step 3: Cross multiply
    23,965.26x = 35,923.23 × 9,170.16
  4. Step 4: Simplify right side
    23,965.26x = 329,421,766.82
  5. Step 5: Solve for x
    x = 329,421,766.82/23,965.26
  6. Step 6: Final answer
    x = 13,745.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.