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Finding the Fourth Proportional to 27,542.37, 38,008.71 and 14,967.12

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Solution

The fourth proportional to 27,542.37, 38,008.71 and 14,967.12 is: 20,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.37 : 38,008.71 = 14,967.12 : x
  2. Step 2: Convert to fraction form
    27,542.37/38,008.71 = 14,967.12/x
  3. Step 3: Cross multiply
    27,542.37x = 38,008.71 × 14,967.12
  4. Step 4: Simplify right side
    27,542.37x = 568,880,923.62
  5. Step 5: Solve for x
    x = 568,880,923.62/27,542.37
  6. Step 6: Final answer
    x = 20,654.76

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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.