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Finding the Fourth Proportional to 21,694.26, 32,529.87 and 9,997.50

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Solution

The fourth proportional to 21,694.26, 32,529.87 and 9,997.50 is: 14,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.26 : 32,529.87 = 9,997.50 : x
  2. Step 2: Convert to fraction form
    21,694.26/32,529.87 = 9,997.50/x
  3. Step 3: Cross multiply
    21,694.26x = 32,529.87 × 9,997.50
  4. Step 4: Simplify right side
    21,694.26x = 325,217,375.33
  5. Step 5: Solve for x
    x = 325,217,375.33/21,694.26
  6. Step 6: Final answer
    x = 14,990.94

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1.5x scale

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.