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Finding the Fourth Proportional to 17,761.62, 26,643.87 and 5,914.98

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Solution

The fourth proportional to 17,761.62, 26,643.87 and 5,914.98 is: 8,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.62 : 26,643.87 = 5,914.98 : x
  2. Step 2: Convert to fraction form
    17,761.62/26,643.87 = 5,914.98/x
  3. Step 3: Cross multiply
    17,761.62x = 26,643.87 × 5,914.98
  4. Step 4: Simplify right side
    17,761.62x = 157,597,958.17
  5. Step 5: Solve for x
    x = 157,597,958.17/17,761.62
  6. Step 6: Final answer
    x = 8,872.95

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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.