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Finding the Fourth Proportional to 22,086.50, 33,121.64 and 7,291.04

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Solution

The fourth proportional to 22,086.50, 33,121.64 and 7,291.04 is: 10,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086.50 : 33,121.64 = 7,291.04 : x
  2. Step 2: Convert to fraction form
    22,086.50/33,121.64 = 7,291.04/x
  3. Step 3: Cross multiply
    22,086.50x = 33,121.64 × 7,291.04
  4. Step 4: Simplify right side
    22,086.50x = 241,491,202.11
  5. Step 5: Solve for x
    x = 241,491,202.11/22,086.50
  6. Step 6: Final answer
    x = 10,933.88

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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.