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Finding the Fourth Proportional to 17,705.75, 26,523.01 and 8,204.76

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Solution

The fourth proportional to 17,705.75, 26,523.01 and 8,204.76 is: 12,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.75 : 26,523.01 = 8,204.76 : x
  2. Step 2: Convert to fraction form
    17,705.75/26,523.01 = 8,204.76/x
  3. Step 3: Cross multiply
    17,705.75x = 26,523.01 × 8,204.76
  4. Step 4: Simplify right side
    17,705.75x = 217,614,798.91
  5. Step 5: Solve for x
    x = 217,614,798.91/17,705.75
  6. Step 6: Final answer
    x = 12,290.63

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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.