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Finding the Fourth Proportional to 12,321.50, 18,469.49 and 5,742.27

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Solution

The fourth proportional to 12,321.50, 18,469.49 and 5,742.27 is: 8,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.50 : 18,469.49 = 5,742.27 : x
  2. Step 2: Convert to fraction form
    12,321.50/18,469.49 = 5,742.27/x
  3. Step 3: Cross multiply
    12,321.50x = 18,469.49 × 5,742.27
  4. Step 4: Simplify right side
    12,321.50x = 106,056,769.63
  5. Step 5: Solve for x
    x = 106,056,769.63/12,321.50
  6. Step 6: Final answer
    x = 8,607.46

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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.