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Finding the Fourth Proportional to 12,178.50, 18,270.48 and 3,745.86

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Solution

The fourth proportional to 12,178.50, 18,270.48 and 3,745.86 is: 5,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.50 : 18,270.48 = 3,745.86 : x
  2. Step 2: Convert to fraction form
    12,178.50/18,270.48 = 3,745.86/x
  3. Step 3: Cross multiply
    12,178.50x = 18,270.48 × 3,745.86
  4. Step 4: Simplify right side
    12,178.50x = 68,438,660.21
  5. Step 5: Solve for x
    x = 68,438,660.21/12,178.50
  6. Step 6: Final answer
    x = 5,619.63

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Why These Related Problems?

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