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Finding the Fourth Proportional to 27,644.82, 38,149.02 and 16,315.05

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Solution

The fourth proportional to 27,644.82, 38,149.02 and 16,315.05 is: 22,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.82 : 38,149.02 = 16,315.05 : x
  2. Step 2: Convert to fraction form
    27,644.82/38,149.02 = 16,315.05/x
  3. Step 3: Cross multiply
    27,644.82x = 38,149.02 × 16,315.05
  4. Step 4: Simplify right side
    27,644.82x = 622,403,168.75
  5. Step 5: Solve for x
    x = 622,403,168.75/27,644.82
  6. Step 6: Final answer
    x = 22,514.28

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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.