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Finding the Fourth Proportional to 12,190.96, 18,272.64 and 5,603.54

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Solution

The fourth proportional to 12,190.96, 18,272.64 and 5,603.54 is: 8,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.96 : 18,272.64 = 5,603.54 : x
  2. Step 2: Convert to fraction form
    12,190.96/18,272.64 = 5,603.54/x
  3. Step 3: Cross multiply
    12,190.96x = 18,272.64 × 5,603.54
  4. Step 4: Simplify right side
    12,190.96x = 102,391,469.15
  5. Step 5: Solve for x
    x = 102,391,469.15/12,190.96
  6. Step 6: Final answer
    x = 8,398.97

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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.