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Finding the Fourth Proportional to 16,161.98, 24,229.88 and 7,270.80

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Solution

The fourth proportional to 16,161.98, 24,229.88 and 7,270.80 is: 10,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.98 : 24,229.88 = 7,270.80 : x
  2. Step 2: Convert to fraction form
    16,161.98/24,229.88 = 7,270.80/x
  3. Step 3: Cross multiply
    16,161.98x = 24,229.88 × 7,270.80
  4. Step 4: Simplify right side
    16,161.98x = 176,170,611.50
  5. Step 5: Solve for x
    x = 176,170,611.50/16,161.98
  6. Step 6: Final answer
    x = 10,900.31

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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.