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Finding the Fourth Proportional to 20,983.26, 31,465.17 and 7,826.16

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Solution

The fourth proportional to 20,983.26, 31,465.17 and 7,826.16 is: 11,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983.26 : 31,465.17 = 7,826.16 : x
  2. Step 2: Convert to fraction form
    20,983.26/31,465.17 = 7,826.16/x
  3. Step 3: Cross multiply
    20,983.26x = 31,465.17 × 7,826.16
  4. Step 4: Simplify right side
    20,983.26x = 246,251,454.85
  5. Step 5: Solve for x
    x = 246,251,454.85/20,983.26
  6. Step 6: Final answer
    x = 11,735.61

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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.