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Finding the Fourth Proportional to 22,015.50, 33,028.11 and 8,164.50

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Solution

The fourth proportional to 22,015.50, 33,028.11 and 8,164.50 is: 12,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,015.50 : 33,028.11 = 8,164.50 : x
  2. Step 2: Convert to fraction form
    22,015.50/33,028.11 = 8,164.50/x
  3. Step 3: Cross multiply
    22,015.50x = 33,028.11 × 8,164.50
  4. Step 4: Simplify right side
    22,015.50x = 269,658,004.10
  5. Step 5: Solve for x
    x = 269,658,004.10/22,015.50
  6. Step 6: Final answer
    x = 12,248.55

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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.