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Finding the Fourth Proportional to 16,223.22, 22,385.97 and 9,151.38

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Solution

The fourth proportional to 16,223.22, 22,385.97 and 9,151.38 is: 12,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.22 : 22,385.97 = 9,151.38 : x
  2. Step 2: Convert to fraction form
    16,223.22/22,385.97 = 9,151.38/x
  3. Step 3: Cross multiply
    16,223.22x = 22,385.97 × 9,151.38
  4. Step 4: Simplify right side
    16,223.22x = 204,862,518.14
  5. Step 5: Solve for x
    x = 204,862,518.14/16,223.22
  6. Step 6: Final answer
    x = 12,627.73

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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.