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Finding the Fourth Proportional to 21,322.56, 31,984.04 and 8,171.80

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Solution

The fourth proportional to 21,322.56, 31,984.04 and 8,171.80 is: 12,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322.56 : 31,984.04 = 8,171.80 : x
  2. Step 2: Convert to fraction form
    21,322.56/31,984.04 = 8,171.80/x
  3. Step 3: Cross multiply
    21,322.56x = 31,984.04 × 8,171.80
  4. Step 4: Simplify right side
    21,322.56x = 261,367,178.07
  5. Step 5: Solve for x
    x = 261,367,178.07/21,322.56
  6. Step 6: Final answer
    x = 12,257.78

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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.