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Finding the Fourth Proportional to 20,896.20, 31,344.30 and 20,896.20

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Solution

The fourth proportional to 20,896.20, 31,344.30 and 20,896.20 is: 31,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.20 : 31,344.30 = 20,896.20 : x
  2. Step 2: Convert to fraction form
    20,896.20/31,344.30 = 20,896.20/x
  3. Step 3: Cross multiply
    20,896.20x = 31,344.30 × 20,896.20
  4. Step 4: Simplify right side
    20,896.20x = 654,976,761.66
  5. Step 5: Solve for x
    x = 654,976,761.66/20,896.20
  6. Step 6: Final answer
    x = 31,344.30

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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.