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Finding the Fourth Proportional to 16,443, 22,691.34 and 8,991

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Solution

The fourth proportional to 16,443, 22,691.34 and 8,991 is: 12,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443 : 22,691.34 = 8,991 : x
  2. Step 2: Convert to fraction form
    16,443/22,691.34 = 8,991/x
  3. Step 3: Cross multiply
    16,443x = 22,691.34 × 8,991
  4. Step 4: Simplify right side
    16,443x = 204,017,837.94
  5. Step 5: Solve for x
    x = 204,017,837.94/16,443
  6. Step 6: Final answer
    x = 12,407.58

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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.