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Finding the Fourth Proportional to 20,778.93, 31,149.56 and 8,296.32

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Solution

The fourth proportional to 20,778.93, 31,149.56 and 8,296.32 is: 12,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.93 : 31,149.56 = 8,296.32 : x
  2. Step 2: Convert to fraction form
    20,778.93/31,149.56 = 8,296.32/x
  3. Step 3: Cross multiply
    20,778.93x = 31,149.56 × 8,296.32
  4. Step 4: Simplify right side
    20,778.93x = 258,426,855.17
  5. Step 5: Solve for x
    x = 258,426,855.17/20,778.93
  6. Step 6: Final answer
    x = 12,436.97

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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.