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Finding the Fourth Proportional to 27,657.39, 38,157.36 and 16,321.22

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Solution

The fourth proportional to 27,657.39, 38,157.36 and 16,321.22 is: 22,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.39 : 38,157.36 = 16,321.22 : x
  2. Step 2: Convert to fraction form
    27,657.39/38,157.36 = 16,321.22/x
  3. Step 3: Cross multiply
    27,657.39x = 38,157.36 × 16,321.22
  4. Step 4: Simplify right side
    27,657.39x = 622,774,542.77
  5. Step 5: Solve for x
    x = 622,774,542.77/27,657.39
  6. Step 6: Final answer
    x = 22,517.47

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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.