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Finding the Fourth Proportional to 23,633.97, 35,452.23 and 9,591.90

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Solution

The fourth proportional to 23,633.97, 35,452.23 and 9,591.90 is: 14,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.97 : 35,452.23 = 9,591.90 : x
  2. Step 2: Convert to fraction form
    23,633.97/35,452.23 = 9,591.90/x
  3. Step 3: Cross multiply
    23,633.97x = 35,452.23 × 9,591.90
  4. Step 4: Simplify right side
    23,633.97x = 340,054,244.94
  5. Step 5: Solve for x
    x = 340,054,244.94/23,633.97
  6. Step 6: Final answer
    x = 14,388.37

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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.