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Finding the Fourth Proportional to 12,221.50, 18,331.86 and 3,456.40

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Solution

The fourth proportional to 12,221.50, 18,331.86 and 3,456.40 is: 5,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.50 : 18,331.86 = 3,456.40 : x
  2. Step 2: Convert to fraction form
    12,221.50/18,331.86 = 3,456.40/x
  3. Step 3: Cross multiply
    12,221.50x = 18,331.86 × 3,456.40
  4. Step 4: Simplify right side
    12,221.50x = 63,362,240.90
  5. Step 5: Solve for x
    x = 63,362,240.90/12,221.50
  6. Step 6: Final answer
    x = 5,184.49

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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.