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Finding the Fourth Proportional to 17,658.92, 24,375.70 and 11,692.51

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Solution

The fourth proportional to 17,658.92, 24,375.70 and 11,692.51 is: 16,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.92 : 24,375.70 = 11,692.51 : x
  2. Step 2: Convert to fraction form
    17,658.92/24,375.70 = 11,692.51/x
  3. Step 3: Cross multiply
    17,658.92x = 24,375.70 × 11,692.51
  4. Step 4: Simplify right side
    17,658.92x = 285,013,084.30
  5. Step 5: Solve for x
    x = 285,013,084.30/17,658.92
  6. Step 6: Final answer
    x = 16,139.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.