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Finding the Fourth Proportional to 20,011.49, 27,616.91 and 11,514.90

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Solution

The fourth proportional to 20,011.49, 27,616.91 and 11,514.90 is: 15,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,011.49 : 27,616.91 = 11,514.90 : x
  2. Step 2: Convert to fraction form
    20,011.49/27,616.91 = 11,514.90/x
  3. Step 3: Cross multiply
    20,011.49x = 27,616.91 × 11,514.90
  4. Step 4: Simplify right side
    20,011.49x = 318,005,899.38
  5. Step 5: Solve for x
    x = 318,005,899.38/20,011.49
  6. Step 6: Final answer
    x = 15,891.17

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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.