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Finding the Fourth Proportional to 16,781.35, 23,157.07 and 9,227.56

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Solution

The fourth proportional to 16,781.35, 23,157.07 and 9,227.56 is: 12,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.35 : 23,157.07 = 9,227.56 : x
  2. Step 2: Convert to fraction form
    16,781.35/23,157.07 = 9,227.56/x
  3. Step 3: Cross multiply
    16,781.35x = 23,157.07 × 9,227.56
  4. Step 4: Simplify right side
    16,781.35x = 213,683,252.85
  5. Step 5: Solve for x
    x = 213,683,252.85/16,781.35
  6. Step 6: Final answer
    x = 12,733.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.