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Finding the Fourth Proportional to 12,223.11, 16,841.84 and 8,237.30

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Solution

The fourth proportional to 12,223.11, 16,841.84 and 8,237.30 is: 11,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.11 : 16,841.84 = 8,237.30 : x
  2. Step 2: Convert to fraction form
    12,223.11/16,841.84 = 8,237.30/x
  3. Step 3: Cross multiply
    12,223.11x = 16,841.84 × 8,237.30
  4. Step 4: Simplify right side
    12,223.11x = 138,731,351.33
  5. Step 5: Solve for x
    x = 138,731,351.33/12,223.11
  6. Step 6: Final answer
    x = 11,349.92

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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.