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Finding the Fourth Proportional to 22,403.26, 33,581.44 and 8,357.64

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Solution

The fourth proportional to 22,403.26, 33,581.44 and 8,357.64 is: 12,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,403.26 : 33,581.44 = 8,357.64 : x
  2. Step 2: Convert to fraction form
    22,403.26/33,581.44 = 8,357.64/x
  3. Step 3: Cross multiply
    22,403.26x = 33,581.44 × 8,357.64
  4. Step 4: Simplify right side
    22,403.26x = 280,661,586.20
  5. Step 5: Solve for x
    x = 280,661,586.20/22,403.26
  6. Step 6: Final answer
    x = 12,527.71

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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.