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Finding the Fourth Proportional to 12,146.15, 16,766.39 and 9,494.42

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Solution

The fourth proportional to 12,146.15, 16,766.39 and 9,494.42 is: 13,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.15 : 16,766.39 = 9,494.42 : x
  2. Step 2: Convert to fraction form
    12,146.15/16,766.39 = 9,494.42/x
  3. Step 3: Cross multiply
    12,146.15x = 16,766.39 × 9,494.42
  4. Step 4: Simplify right side
    12,146.15x = 159,187,088.45
  5. Step 5: Solve for x
    x = 159,187,088.45/12,146.15
  6. Step 6: Final answer
    x = 13,105.97

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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.