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Finding the Fourth Proportional to 22,493.36, 33,717.46 and 7,692.15

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Solution

The fourth proportional to 22,493.36, 33,717.46 and 7,692.15 is: 11,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.36 : 33,717.46 = 7,692.15 : x
  2. Step 2: Convert to fraction form
    22,493.36/33,717.46 = 7,692.15/x
  3. Step 3: Cross multiply
    22,493.36x = 33,717.46 × 7,692.15
  4. Step 4: Simplify right side
    22,493.36x = 259,359,759.94
  5. Step 5: Solve for x
    x = 259,359,759.94/22,493.36
  6. Step 6: Final answer
    x = 11,530.50

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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.