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Finding the Fourth Proportional to 23,965.38, 35,959.22 and 9,169.42

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Solution

The fourth proportional to 23,965.38, 35,959.22 and 9,169.42 is: 13,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965.38 : 35,959.22 = 9,169.42 : x
  2. Step 2: Convert to fraction form
    23,965.38/35,959.22 = 9,169.42/x
  3. Step 3: Cross multiply
    23,965.38x = 35,959.22 × 9,169.42
  4. Step 4: Simplify right side
    23,965.38x = 329,725,191.05
  5. Step 5: Solve for x
    x = 329,725,191.05/23,965.38
  6. Step 6: Final answer
    x = 13,758.40

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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.