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Finding the Fourth Proportional to 12,014.60, 18,021.87 and 3,249.50

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Solution

The fourth proportional to 12,014.60, 18,021.87 and 3,249.50 is: 4,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.60 : 18,021.87 = 3,249.50 : x
  2. Step 2: Convert to fraction form
    12,014.60/18,021.87 = 3,249.50/x
  3. Step 3: Cross multiply
    12,014.60x = 18,021.87 × 3,249.50
  4. Step 4: Simplify right side
    12,014.60x = 58,561,976.46
  5. Step 5: Solve for x
    x = 58,561,976.46/12,014.60
  6. Step 6: Final answer
    x = 4,874.24

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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.