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Finding the Fourth Proportional to 16,004.01, 22,086.24 and 8,930.46

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Solution

The fourth proportional to 16,004.01, 22,086.24 and 8,930.46 is: 12,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.01 : 22,086.24 = 8,930.46 : x
  2. Step 2: Convert to fraction form
    16,004.01/22,086.24 = 8,930.46/x
  3. Step 3: Cross multiply
    16,004.01x = 22,086.24 × 8,930.46
  4. Step 4: Simplify right side
    16,004.01x = 197,240,282.87
  5. Step 5: Solve for x
    x = 197,240,282.87/16,004.01
  6. Step 6: Final answer
    x = 12,324.43

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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.