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Finding the Fourth Proportional to 12,213.10, 16,853.16 and 8,239.60

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Solution

The fourth proportional to 12,213.10, 16,853.16 and 8,239.60 is: 11,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.10 : 16,853.16 = 8,239.60 : x
  2. Step 2: Convert to fraction form
    12,213.10/16,853.16 = 8,239.60/x
  3. Step 3: Cross multiply
    12,213.10x = 16,853.16 × 8,239.60
  4. Step 4: Simplify right side
    12,213.10x = 138,863,297.14
  5. Step 5: Solve for x
    x = 138,863,297.14/12,213.10
  6. Step 6: Final answer
    x = 11,370.03

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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.