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Finding the Fourth Proportional to 12,229, 16,876.38 and 6,640.36

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Solution

The fourth proportional to 12,229, 16,876.38 and 6,640.36 is: 9,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229 : 16,876.38 = 6,640.36 : x
  2. Step 2: Convert to fraction form
    12,229/16,876.38 = 6,640.36/x
  3. Step 3: Cross multiply
    12,229x = 16,876.38 × 6,640.36
  4. Step 4: Simplify right side
    12,229x = 112,065,238.70
  5. Step 5: Solve for x
    x = 112,065,238.70/12,229
  6. Step 6: Final answer
    x = 9,163.89

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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.