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Finding the Fourth Proportional to 12,171.26, 16,814.39 and 9,645.28

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Solution

The fourth proportional to 12,171.26, 16,814.39 and 9,645.28 is: 13,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.26 : 16,814.39 = 9,645.28 : x
  2. Step 2: Convert to fraction form
    12,171.26/16,814.39 = 9,645.28/x
  3. Step 3: Cross multiply
    12,171.26x = 16,814.39 × 9,645.28
  4. Step 4: Simplify right side
    12,171.26x = 162,179,409.32
  5. Step 5: Solve for x
    x = 162,179,409.32/12,171.26
  6. Step 6: Final answer
    x = 13,324.78

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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.