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Finding the Fourth Proportional to 16,003.80, 22,086.36 and 8,930.34

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Solution

The fourth proportional to 16,003.80, 22,086.36 and 8,930.34 is: 12,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.80 : 22,086.36 = 8,930.34 : x
  2. Step 2: Convert to fraction form
    16,003.80/22,086.36 = 8,930.34/x
  3. Step 3: Cross multiply
    16,003.80x = 22,086.36 × 8,930.34
  4. Step 4: Simplify right side
    16,003.80x = 197,238,704.16
  5. Step 5: Solve for x
    x = 197,238,704.16/16,003.80
  6. Step 6: Final answer
    x = 12,324.49

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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.