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Finding the Fourth Proportional to 20,576.83, 30,906.26 and 19,416.31

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Solution

The fourth proportional to 20,576.83, 30,906.26 and 19,416.31 is: 29,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.83 : 30,906.26 = 19,416.31 : x
  2. Step 2: Convert to fraction form
    20,576.83/30,906.26 = 19,416.31/x
  3. Step 3: Cross multiply
    20,576.83x = 30,906.26 × 19,416.31
  4. Step 4: Simplify right side
    20,576.83x = 600,085,525.10
  5. Step 5: Solve for x
    x = 600,085,525.10/20,576.83
  6. Step 6: Final answer
    x = 29,163.17

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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.