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Finding the Fourth Proportional to 12,194.18, 16,841.82 and 8,208.37

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Solution

The fourth proportional to 12,194.18, 16,841.82 and 8,208.37 is: 11,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.18 : 16,841.82 = 8,208.37 : x
  2. Step 2: Convert to fraction form
    12,194.18/16,841.82 = 8,208.37/x
  3. Step 3: Cross multiply
    12,194.18x = 16,841.82 × 8,208.37
  4. Step 4: Simplify right side
    12,194.18x = 138,243,941.87
  5. Step 5: Solve for x
    x = 138,243,941.87/12,194.18
  6. Step 6: Final answer
    x = 11,336.88

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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.