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Finding the Fourth Proportional to 23,537.44, 35,311.24 and 7,954.72

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Solution

The fourth proportional to 23,537.44, 35,311.24 and 7,954.72 is: 11,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.44 : 35,311.24 = 7,954.72 : x
  2. Step 2: Convert to fraction form
    23,537.44/35,311.24 = 7,954.72/x
  3. Step 3: Cross multiply
    23,537.44x = 35,311.24 × 7,954.72
  4. Step 4: Simplify right side
    23,537.44x = 280,891,027.05
  5. Step 5: Solve for x
    x = 280,891,027.05/23,537.44
  6. Step 6: Final answer
    x = 11,933.80

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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.