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Finding the Fourth Proportional to 27,690.72, 38,213.21 and 17,086.50

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Solution

The fourth proportional to 27,690.72, 38,213.21 and 17,086.50 is: 23,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,690.72 : 38,213.21 = 17,086.50 : x
  2. Step 2: Convert to fraction form
    27,690.72/38,213.21 = 17,086.50/x
  3. Step 3: Cross multiply
    27,690.72x = 38,213.21 × 17,086.50
  4. Step 4: Simplify right side
    27,690.72x = 652,930,108.20
  5. Step 5: Solve for x
    x = 652,930,108.20/27,690.72
  6. Step 6: Final answer
    x = 23,579.38

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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.