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Finding the Fourth Proportional to 27,927.13, 41,897.66 and 8,205.71

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Solution

The fourth proportional to 27,927.13, 41,897.66 and 8,205.71 is: 12,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927.13 : 41,897.66 = 8,205.71 : x
  2. Step 2: Convert to fraction form
    27,927.13/41,897.66 = 8,205.71/x
  3. Step 3: Cross multiply
    27,927.13x = 41,897.66 × 8,205.71
  4. Step 4: Simplify right side
    27,927.13x = 343,799,797.12
  5. Step 5: Solve for x
    x = 343,799,797.12/27,927.13
  6. Step 6: Final answer
    x = 12,310.60

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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.