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Finding the Fourth Proportional to 12,310.25, 18,469.96 and 7,383.42

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Solution

The fourth proportional to 12,310.25, 18,469.96 and 7,383.42 is: 11,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.25 : 18,469.96 = 7,383.42 : x
  2. Step 2: Convert to fraction form
    12,310.25/18,469.96 = 7,383.42/x
  3. Step 3: Cross multiply
    12,310.25x = 18,469.96 × 7,383.42
  4. Step 4: Simplify right side
    12,310.25x = 136,371,453.60
  5. Step 5: Solve for x
    x = 136,371,453.60/12,310.25
  6. Step 6: Final answer
    x = 11,077.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.