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Finding the Fourth Proportional to 16,149.38, 22,286.48 and 9,076.25

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Solution

The fourth proportional to 16,149.38, 22,286.48 and 9,076.25 is: 12,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.38 : 22,286.48 = 9,076.25 : x
  2. Step 2: Convert to fraction form
    16,149.38/22,286.48 = 9,076.25/x
  3. Step 3: Cross multiply
    16,149.38x = 22,286.48 × 9,076.25
  4. Step 4: Simplify right side
    16,149.38x = 202,277,674.43
  5. Step 5: Solve for x
    x = 202,277,674.43/16,149.38
  6. Step 6: Final answer
    x = 12,525.42

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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.