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Finding the Fourth Proportional to 16,266, 22,447.10 and 8,814

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Solution

The fourth proportional to 16,266, 22,447.10 and 8,814 is: 12,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266 : 22,447.10 = 8,814 : x
  2. Step 2: Convert to fraction form
    16,266/22,447.10 = 8,814/x
  3. Step 3: Cross multiply
    16,266x = 22,447.10 × 8,814
  4. Step 4: Simplify right side
    16,266x = 197,848,695.33
  5. Step 5: Solve for x
    x = 197,848,695.33/16,266
  6. Step 6: Final answer
    x = 12,163.33

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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.