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Finding the Fourth Proportional to 12,645.88, 18,968.82 and 7,027.12

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Solution

The fourth proportional to 12,645.88, 18,968.82 and 7,027.12 is: 10,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.88 : 18,968.82 = 7,027.12 : x
  2. Step 2: Convert to fraction form
    12,645.88/18,968.82 = 7,027.12/x
  3. Step 3: Cross multiply
    12,645.88x = 18,968.82 × 7,027.12
  4. Step 4: Simplify right side
    12,645.88x = 133,296,174.40
  5. Step 5: Solve for x
    x = 133,296,174.40/12,645.88
  6. Step 6: Final answer
    x = 10,540.68

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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.