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Finding the Fourth Proportional to 16,385.38, 22,611.80 and 9,311.80

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Solution

The fourth proportional to 16,385.38, 22,611.80 and 9,311.80 is: 12,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.38 : 22,611.80 = 9,311.80 : x
  2. Step 2: Convert to fraction form
    16,385.38/22,611.80 = 9,311.80/x
  3. Step 3: Cross multiply
    16,385.38x = 22,611.80 × 9,311.80
  4. Step 4: Simplify right side
    16,385.38x = 210,556,559.24
  5. Step 5: Solve for x
    x = 210,556,559.24/16,385.38
  6. Step 6: Final answer
    x = 12,850.27

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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.