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Finding the Fourth Proportional to 20,687.30, 31,035.82 and 5,896.43

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Solution

The fourth proportional to 20,687.30, 31,035.82 and 5,896.43 is: 8,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.30 : 31,035.82 = 5,896.43 : x
  2. Step 2: Convert to fraction form
    20,687.30/31,035.82 = 5,896.43/x
  3. Step 3: Cross multiply
    20,687.30x = 31,035.82 × 5,896.43
  4. Step 4: Simplify right side
    20,687.30x = 183,000,540.12
  5. Step 5: Solve for x
    x = 183,000,540.12/20,687.30
  6. Step 6: Final answer
    x = 8,846.03

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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.