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Finding the Fourth Proportional to 23,794.94, 35,692.98 and 8,000.48

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Solution

The fourth proportional to 23,794.94, 35,692.98 and 8,000.48 is: 12,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.94 : 35,692.98 = 8,000.48 : x
  2. Step 2: Convert to fraction form
    23,794.94/35,692.98 = 8,000.48/x
  3. Step 3: Cross multiply
    23,794.94x = 35,692.98 × 8,000.48
  4. Step 4: Simplify right side
    23,794.94x = 285,560,972.63
  5. Step 5: Solve for x
    x = 285,560,972.63/23,794.94
  6. Step 6: Final answer
    x = 12,000.91

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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.