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Finding the Fourth Proportional to 27,608.39, 38,086.84 and 16,270.14

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Solution

The fourth proportional to 27,608.39, 38,086.84 and 16,270.14 is: 22,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.39 : 38,086.84 = 16,270.14 : x
  2. Step 2: Convert to fraction form
    27,608.39/38,086.84 = 16,270.14/x
  3. Step 3: Cross multiply
    27,608.39x = 38,086.84 × 16,270.14
  4. Step 4: Simplify right side
    27,608.39x = 619,678,218.96
  5. Step 5: Solve for x
    x = 619,678,218.96/27,608.39
  6. Step 6: Final answer
    x = 22,445.29

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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.