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Finding the Fourth Proportional to 27,498.13, 41,247.19 and 9,967.97

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Solution

The fourth proportional to 27,498.13, 41,247.19 and 9,967.97 is: 14,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,498.13 : 41,247.19 = 9,967.97 : x
  2. Step 2: Convert to fraction form
    27,498.13/41,247.19 = 9,967.97/x
  3. Step 3: Cross multiply
    27,498.13x = 41,247.19 × 9,967.97
  4. Step 4: Simplify right side
    27,498.13x = 411,150,752.50
  5. Step 5: Solve for x
    x = 411,150,752.50/27,498.13
  6. Step 6: Final answer
    x = 14,951.95

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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.