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Finding the Fourth Proportional to 12,227.09, 16,873.41 and 6,638.09

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Solution

The fourth proportional to 12,227.09, 16,873.41 and 6,638.09 is: 9,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.09 : 16,873.41 = 6,638.09 : x
  2. Step 2: Convert to fraction form
    12,227.09/16,873.41 = 6,638.09/x
  3. Step 3: Cross multiply
    12,227.09x = 16,873.41 × 6,638.09
  4. Step 4: Simplify right side
    12,227.09x = 112,007,214.19
  5. Step 5: Solve for x
    x = 112,007,214.19/12,227.09
  6. Step 6: Final answer
    x = 9,160.58

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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.