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Finding the Fourth Proportional to 17,864.44, 26,757.66 and 8,611

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Solution

The fourth proportional to 17,864.44, 26,757.66 and 8,611 is: 12,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.44 : 26,757.66 = 8,611 : x
  2. Step 2: Convert to fraction form
    17,864.44/26,757.66 = 8,611/x
  3. Step 3: Cross multiply
    17,864.44x = 26,757.66 × 8,611
  4. Step 4: Simplify right side
    17,864.44x = 230,410,210.26
  5. Step 5: Solve for x
    x = 230,410,210.26/17,864.44
  6. Step 6: Final answer
    x = 12,897.70

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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.