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Finding the Fourth Proportional to 15,757.14, 23,633.82 and 5,896.20

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Solution

The fourth proportional to 15,757.14, 23,633.82 and 5,896.20 is: 8,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.14 : 23,633.82 = 5,896.20 : x
  2. Step 2: Convert to fraction form
    15,757.14/23,633.82 = 5,896.20/x
  3. Step 3: Cross multiply
    15,757.14x = 23,633.82 × 5,896.20
  4. Step 4: Simplify right side
    15,757.14x = 139,349,729.48
  5. Step 5: Solve for x
    x = 139,349,729.48/15,757.14
  6. Step 6: Final answer
    x = 8,843.59

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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.