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Finding the Fourth Proportional to 16,223.09, 22,387.82 and 8,771.09

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Solution

The fourth proportional to 16,223.09, 22,387.82 and 8,771.09 is: 12,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.09 : 22,387.82 = 8,771.09 : x
  2. Step 2: Convert to fraction form
    16,223.09/22,387.82 = 8,771.09/x
  3. Step 3: Cross multiply
    16,223.09x = 22,387.82 × 8,771.09
  4. Step 4: Simplify right side
    16,223.09x = 196,365,428.33
  5. Step 5: Solve for x
    x = 196,365,428.33/16,223.09
  6. Step 6: Final answer
    x = 12,104.07

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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.