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Finding the Fourth Proportional to 27,614.49, 38,108.04 and 15,677.83

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Solution

The fourth proportional to 27,614.49, 38,108.04 and 15,677.83 is: 21,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.49 : 38,108.04 = 15,677.83 : x
  2. Step 2: Convert to fraction form
    27,614.49/38,108.04 = 15,677.83/x
  3. Step 3: Cross multiply
    27,614.49x = 38,108.04 × 15,677.83
  4. Step 4: Simplify right side
    27,614.49x = 597,451,420.39
  5. Step 5: Solve for x
    x = 597,451,420.39/27,614.49
  6. Step 6: Final answer
    x = 21,635.43

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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.