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Finding the Fourth Proportional to 22,181.50, 33,294.84 and 11,096.20

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Solution

The fourth proportional to 22,181.50, 33,294.84 and 11,096.20 is: 16,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181.50 : 33,294.84 = 11,096.20 : x
  2. Step 2: Convert to fraction form
    22,181.50/33,294.84 = 11,096.20/x
  3. Step 3: Cross multiply
    22,181.50x = 33,294.84 × 11,096.20
  4. Step 4: Simplify right side
    22,181.50x = 369,446,203.61
  5. Step 5: Solve for x
    x = 369,446,203.61/22,181.50
  6. Step 6: Final answer
    x = 16,655.60

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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.