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Finding the Fourth Proportional to 12,078.24, 18,124.44 and 6,745.92

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Solution

The fourth proportional to 12,078.24, 18,124.44 and 6,745.92 is: 10,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.24 : 18,124.44 = 6,745.92 : x
  2. Step 2: Convert to fraction form
    12,078.24/18,124.44 = 6,745.92/x
  3. Step 3: Cross multiply
    12,078.24x = 18,124.44 × 6,745.92
  4. Step 4: Simplify right side
    12,078.24x = 122,266,022.28
  5. Step 5: Solve for x
    x = 122,266,022.28/12,078.24
  6. Step 6: Final answer
    x = 10,122.83

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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.