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Finding the Fourth Proportional to 27,540, 38,005.20 and 14,964.75

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Solution

The fourth proportional to 27,540, 38,005.20 and 14,964.75 is: 20,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540 : 38,005.20 = 14,964.75 : x
  2. Step 2: Convert to fraction form
    27,540/38,005.20 = 14,964.75/x
  3. Step 3: Cross multiply
    27,540x = 38,005.20 × 14,964.75
  4. Step 4: Simplify right side
    27,540x = 568,738,316.70
  5. Step 5: Solve for x
    x = 568,738,316.70/27,540
  6. Step 6: Final answer
    x = 20,651.36

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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.