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Finding the Fourth Proportional to 20,775.10, 31,162.70 and 8,296.14

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Solution

The fourth proportional to 20,775.10, 31,162.70 and 8,296.14 is: 12,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.10 : 31,162.70 = 8,296.14 : x
  2. Step 2: Convert to fraction form
    20,775.10/31,162.70 = 8,296.14/x
  3. Step 3: Cross multiply
    20,775.10x = 31,162.70 × 8,296.14
  4. Step 4: Simplify right side
    20,775.10x = 258,530,121.98
  5. Step 5: Solve for x
    x = 258,530,121.98/20,775.10
  6. Step 6: Final answer
    x = 12,444.23

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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.