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Finding the Fourth Proportional to 12,149.81, 16,766.65 and 6,846.33

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Solution

The fourth proportional to 12,149.81, 16,766.65 and 6,846.33 is: 9,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.81 : 16,766.65 = 6,846.33 : x
  2. Step 2: Convert to fraction form
    12,149.81/16,766.65 = 6,846.33/x
  3. Step 3: Cross multiply
    12,149.81x = 16,766.65 × 6,846.33
  4. Step 4: Simplify right side
    12,149.81x = 114,789,984.66
  5. Step 5: Solve for x
    x = 114,789,984.66/12,149.81
  6. Step 6: Final answer
    x = 9,447.89

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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.