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Finding the Fourth Proportional to 22,165.50, 33,254.50 and 9,027.30

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Solution

The fourth proportional to 22,165.50, 33,254.50 and 9,027.30 is: 13,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.50 : 33,254.50 = 9,027.30 : x
  2. Step 2: Convert to fraction form
    22,165.50/33,254.50 = 9,027.30/x
  3. Step 3: Cross multiply
    22,165.50x = 33,254.50 × 9,027.30
  4. Step 4: Simplify right side
    22,165.50x = 300,198,347.85
  5. Step 5: Solve for x
    x = 300,198,347.85/22,165.50
  6. Step 6: Final answer
    x = 13,543.50

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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.