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Finding the Fourth Proportional to 27,542.70, 38,008.61 and 15,443.12

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Solution

The fourth proportional to 27,542.70, 38,008.61 and 15,443.12 is: 21,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.70 : 38,008.61 = 15,443.12 : x
  2. Step 2: Convert to fraction form
    27,542.70/38,008.61 = 15,443.12/x
  3. Step 3: Cross multiply
    27,542.70x = 38,008.61 × 15,443.12
  4. Step 4: Simplify right side
    27,542.70x = 586,971,600.98
  5. Step 5: Solve for x
    x = 586,971,600.98/27,542.70
  6. Step 6: Final answer
    x = 21,311.33

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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.