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Finding the Fourth Proportional to 16,462.15, 22,717.60 and 8,908.32

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Solution

The fourth proportional to 16,462.15, 22,717.60 and 8,908.32 is: 12,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.15 : 22,717.60 = 8,908.32 : x
  2. Step 2: Convert to fraction form
    16,462.15/22,717.60 = 8,908.32/x
  3. Step 3: Cross multiply
    16,462.15x = 22,717.60 × 8,908.32
  4. Step 4: Simplify right side
    16,462.15x = 202,375,650.43
  5. Step 5: Solve for x
    x = 202,375,650.43/16,462.15
  6. Step 6: Final answer
    x = 12,293.39

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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.