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Finding the Fourth Proportional to 23,923.55, 35,893.04 and 7,286.78

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Solution

The fourth proportional to 23,923.55, 35,893.04 and 7,286.78 is: 10,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,923.55 : 35,893.04 = 7,286.78 : x
  2. Step 2: Convert to fraction form
    23,923.55/35,893.04 = 7,286.78/x
  3. Step 3: Cross multiply
    23,923.55x = 35,893.04 × 7,286.78
  4. Step 4: Simplify right side
    23,923.55x = 261,544,739.31
  5. Step 5: Solve for x
    x = 261,544,739.31/23,923.55
  6. Step 6: Final answer
    x = 10,932.52

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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.