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Finding the Fourth Proportional to 27,891.66, 41,834.43 and 8,170.41

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Solution

The fourth proportional to 27,891.66, 41,834.43 and 8,170.41 is: 12,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891.66 : 41,834.43 = 8,170.41 : x
  2. Step 2: Convert to fraction form
    27,891.66/41,834.43 = 8,170.41/x
  3. Step 3: Cross multiply
    27,891.66x = 41,834.43 × 8,170.41
  4. Step 4: Simplify right side
    27,891.66x = 341,804,445.22
  5. Step 5: Solve for x
    x = 341,804,445.22/27,891.66
  6. Step 6: Final answer
    x = 12,254.72

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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.