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Finding the Fourth Proportional to 12,149.85, 16,772.43 and 8,567.73

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Solution

The fourth proportional to 12,149.85, 16,772.43 and 8,567.73 is: 11,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.85 : 16,772.43 = 8,567.73 : x
  2. Step 2: Convert to fraction form
    12,149.85/16,772.43 = 8,567.73/x
  3. Step 3: Cross multiply
    12,149.85x = 16,772.43 × 8,567.73
  4. Step 4: Simplify right side
    12,149.85x = 143,701,635.62
  5. Step 5: Solve for x
    x = 143,701,635.62/12,149.85
  6. Step 6: Final answer
    x = 11,827.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.