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Finding the Fourth Proportional to 27,899.71, 41,849.02 and 8,177.83

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Solution

The fourth proportional to 27,899.71, 41,849.02 and 8,177.83 is: 12,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,899.71 : 41,849.02 = 8,177.83 : x
  2. Step 2: Convert to fraction form
    27,899.71/41,849.02 = 8,177.83/x
  3. Step 3: Cross multiply
    27,899.71x = 41,849.02 × 8,177.83
  4. Step 4: Simplify right side
    27,899.71x = 342,234,076.83
  5. Step 5: Solve for x
    x = 342,234,076.83/27,899.71
  6. Step 6: Final answer
    x = 12,266.58

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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.