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Finding the Fourth Proportional to 20,778.96, 31,166.52 and 8,466

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Solution

The fourth proportional to 20,778.96, 31,166.52 and 8,466 is: 12,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.96 : 31,166.52 = 8,466 : x
  2. Step 2: Convert to fraction form
    20,778.96/31,166.52 = 8,466/x
  3. Step 3: Cross multiply
    20,778.96x = 31,166.52 × 8,466
  4. Step 4: Simplify right side
    20,778.96x = 263,855,758.32
  5. Step 5: Solve for x
    x = 263,855,758.32/20,778.96
  6. Step 6: Final answer
    x = 12,698.22

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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.