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Finding the Fourth Proportional to 27,895.66, 41,840.43 and 8,174.41

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Solution

The fourth proportional to 27,895.66, 41,840.43 and 8,174.41 is: 12,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,895.66 : 41,840.43 = 8,174.41 : x
  2. Step 2: Convert to fraction form
    27,895.66/41,840.43 = 8,174.41/x
  3. Step 3: Cross multiply
    27,895.66x = 41,840.43 × 8,174.41
  4. Step 4: Simplify right side
    27,895.66x = 342,020,829.40
  5. Step 5: Solve for x
    x = 342,020,829.40/27,895.66
  6. Step 6: Final answer
    x = 12,260.72

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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.