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Finding the Fourth Proportional to 8,176.80, 12,265.32 and 2,020.80

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Solution

The fourth proportional to 8,176.80, 12,265.32 and 2,020.80 is: 3,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.80 : 12,265.32 = 2,020.80 : x
  2. Step 2: Convert to fraction form
    8,176.80/12,265.32 = 2,020.80/x
  3. Step 3: Cross multiply
    8,176.80x = 12,265.32 × 2,020.80
  4. Step 4: Simplify right side
    8,176.80x = 24,785,758.66
  5. Step 5: Solve for x
    x = 24,785,758.66/8,176.80
  6. Step 6: Final answer
    x = 3,031.23

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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.