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Finding the Fourth Proportional to 22,009.50, 33,014.52 and 8,158.50

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Solution

The fourth proportional to 22,009.50, 33,014.52 and 8,158.50 is: 12,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.50 : 33,014.52 = 8,158.50 : x
  2. Step 2: Convert to fraction form
    22,009.50/33,014.52 = 8,158.50/x
  3. Step 3: Cross multiply
    22,009.50x = 33,014.52 × 8,158.50
  4. Step 4: Simplify right side
    22,009.50x = 269,348,961.42
  5. Step 5: Solve for x
    x = 269,348,961.42/22,009.50
  6. Step 6: Final answer
    x = 12,237.85

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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.