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Finding the Fourth Proportional to 17,902.98, 26,845.25 and 8,033.80

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Solution

The fourth proportional to 17,902.98, 26,845.25 and 8,033.80 is: 12,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,902.98 : 26,845.25 = 8,033.80 : x
  2. Step 2: Convert to fraction form
    17,902.98/26,845.25 = 8,033.80/x
  3. Step 3: Cross multiply
    17,902.98x = 26,845.25 × 8,033.80
  4. Step 4: Simplify right side
    17,902.98x = 215,669,312.50
  5. Step 5: Solve for x
    x = 215,669,312.50/17,902.98
  6. Step 6: Final answer
    x = 12,046.56

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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.