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Finding the Fourth Proportional to 27,672.38, 38,187.88 and 16,494.38

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Solution

The fourth proportional to 27,672.38, 38,187.88 and 16,494.38 is: 22,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.38 : 38,187.88 = 16,494.38 : x
  2. Step 2: Convert to fraction form
    27,672.38/38,187.88 = 16,494.38/x
  3. Step 3: Cross multiply
    27,672.38x = 38,187.88 × 16,494.38
  4. Step 4: Simplify right side
    27,672.38x = 629,885,171.94
  5. Step 5: Solve for x
    x = 629,885,171.94/27,672.38
  6. Step 6: Final answer
    x = 22,762.24

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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.