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Finding the Fourth Proportional to 20,772.90, 31,163.40 and 8,290.80

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Solution

The fourth proportional to 20,772.90, 31,163.40 and 8,290.80 is: 12,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772.90 : 31,163.40 = 8,290.80 : x
  2. Step 2: Convert to fraction form
    20,772.90/31,163.40 = 8,290.80/x
  3. Step 3: Cross multiply
    20,772.90x = 31,163.40 × 8,290.80
  4. Step 4: Simplify right side
    20,772.90x = 258,369,516.72
  5. Step 5: Solve for x
    x = 258,369,516.72/20,772.90
  6. Step 6: Final answer
    x = 12,437.82

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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.