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Finding the Fourth Proportional to 17,586.82, 26,344.86 and 8,213.86

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Solution

The fourth proportional to 17,586.82, 26,344.86 and 8,213.86 is: 12,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.82 : 26,344.86 = 8,213.86 : x
  2. Step 2: Convert to fraction form
    17,586.82/26,344.86 = 8,213.86/x
  3. Step 3: Cross multiply
    17,586.82x = 26,344.86 × 8,213.86
  4. Step 4: Simplify right side
    17,586.82x = 216,392,991.76
  5. Step 5: Solve for x
    x = 216,392,991.76/17,586.82
  6. Step 6: Final answer
    x = 12,304.27

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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.