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Finding the Fourth Proportional to 27,540, 41,322.96 and 14,398.56

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Solution

The fourth proportional to 27,540, 41,322.96 and 14,398.56 is: 21,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540 : 41,322.96 = 14,398.56 : x
  2. Step 2: Convert to fraction form
    27,540/41,322.96 = 14,398.56/x
  3. Step 3: Cross multiply
    27,540x = 41,322.96 × 14,398.56
  4. Step 4: Simplify right side
    27,540x = 594,991,118.94
  5. Step 5: Solve for x
    x = 594,991,118.94/27,540
  6. Step 6: Final answer
    x = 21,604.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.