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Finding the Fourth Proportional to 22,474.14, 33,715.14 and 7,679.58

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Solution

The fourth proportional to 22,474.14, 33,715.14 and 7,679.58 is: 11,520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.14 : 33,715.14 = 7,679.58 : x
  2. Step 2: Convert to fraction form
    22,474.14/33,715.14 = 7,679.58/x
  3. Step 3: Cross multiply
    22,474.14x = 33,715.14 × 7,679.58
  4. Step 4: Simplify right side
    22,474.14x = 258,918,114.84
  5. Step 5: Solve for x
    x = 258,918,114.84/22,474.14
  6. Step 6: Final answer
    x = 11,520.71

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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.