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Finding the Fourth Proportional to 12,149.33, 16,766.00 and 6,845.86

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Solution

The fourth proportional to 12,149.33, 16,766.00 and 6,845.86 is: 9,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.33 : 16,766.00 = 6,845.86 : x
  2. Step 2: Convert to fraction form
    12,149.33/16,766.00 = 6,845.86/x
  3. Step 3: Cross multiply
    12,149.33x = 16,766.00 × 6,845.86
  4. Step 4: Simplify right side
    12,149.33x = 114,777,622.04
  5. Step 5: Solve for x
    x = 114,777,622.04/12,149.33
  6. Step 6: Final answer
    x = 9,447.24

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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.