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Finding the Fourth Proportional to 20,677.68, 31,026.78 and 8,197.44

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Solution

The fourth proportional to 20,677.68, 31,026.78 and 8,197.44 is: 12,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,677.68 : 31,026.78 = 8,197.44 : x
  2. Step 2: Convert to fraction form
    20,677.68/31,026.78 = 8,197.44/x
  3. Step 3: Cross multiply
    20,677.68x = 31,026.78 × 8,197.44
  4. Step 4: Simplify right side
    20,677.68x = 254,340,167.44
  5. Step 5: Solve for x
    x = 254,340,167.44/20,677.68
  6. Step 6: Final answer
    x = 12,300.23

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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.