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Finding the Fourth Proportional to 20,266.75, 27,967.57 and 11,314

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Solution

The fourth proportional to 20,266.75, 27,967.57 and 11,314 is: 15,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266.75 : 27,967.57 = 11,314 : x
  2. Step 2: Convert to fraction form
    20,266.75/27,967.57 = 11,314/x
  3. Step 3: Cross multiply
    20,266.75x = 27,967.57 × 11,314
  4. Step 4: Simplify right side
    20,266.75x = 316,425,086.98
  5. Step 5: Solve for x
    x = 316,425,086.98/20,266.75
  6. Step 6: Final answer
    x = 15,613.02

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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.