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Finding the Fourth Proportional to 23,759.44, 35,638.87 and 9,727

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Solution

The fourth proportional to 23,759.44, 35,638.87 and 9,727 is: 14,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,759.44 : 35,638.87 = 9,727 : x
  2. Step 2: Convert to fraction form
    23,759.44/35,638.87 = 9,727/x
  3. Step 3: Cross multiply
    23,759.44x = 35,638.87 × 9,727
  4. Step 4: Simplify right side
    23,759.44x = 346,659,288.49
  5. Step 5: Solve for x
    x = 346,659,288.49/23,759.44
  6. Step 6: Final answer
    x = 14,590.38

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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.