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Finding the Fourth Proportional to 16,261, 22,440.18 and 8,809

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Solution

The fourth proportional to 16,261, 22,440.18 and 8,809 is: 12,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261 : 22,440.18 = 8,809 : x
  2. Step 2: Convert to fraction form
    16,261/22,440.18 = 8,809/x
  3. Step 3: Cross multiply
    16,261x = 22,440.18 × 8,809
  4. Step 4: Simplify right side
    16,261x = 197,675,545.62
  5. Step 5: Solve for x
    x = 197,675,545.62/16,261
  6. Step 6: Final answer
    x = 12,156.42

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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.