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Finding the Fourth Proportional to 27,927.17, 41,897.43 and 8,205.29

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Solution

The fourth proportional to 27,927.17, 41,897.43 and 8,205.29 is: 12,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927.17 : 41,897.43 = 8,205.29 : x
  2. Step 2: Convert to fraction form
    27,927.17/41,897.43 = 8,205.29/x
  3. Step 3: Cross multiply
    27,927.17x = 41,897.43 × 8,205.29
  4. Step 4: Simplify right side
    27,927.17x = 343,780,563.40
  5. Step 5: Solve for x
    x = 343,780,563.40/27,927.17
  6. Step 6: Final answer
    x = 12,309.90

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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.