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Finding the Fourth Proportional to 22,099.50, 33,173.73 and 11,003.22

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Solution

The fourth proportional to 22,099.50, 33,173.73 and 11,003.22 is: 16,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099.50 : 33,173.73 = 11,003.22 : x
  2. Step 2: Convert to fraction form
    22,099.50/33,173.73 = 11,003.22/x
  3. Step 3: Cross multiply
    22,099.50x = 33,173.73 × 11,003.22
  4. Step 4: Simplify right side
    22,099.50x = 365,017,849.41
  5. Step 5: Solve for x
    x = 365,017,849.41/22,099.50
  6. Step 6: Final answer
    x = 16,517.02

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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.