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Finding the Fourth Proportional to 27,137.92, 40,702.18 and 8,162.28

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Solution

The fourth proportional to 27,137.92, 40,702.18 and 8,162.28 is: 12,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.92 : 40,702.18 = 8,162.28 : x
  2. Step 2: Convert to fraction form
    27,137.92/40,702.18 = 8,162.28/x
  3. Step 3: Cross multiply
    27,137.92x = 40,702.18 × 8,162.28
  4. Step 4: Simplify right side
    27,137.92x = 332,222,589.77
  5. Step 5: Solve for x
    x = 332,222,589.77/27,137.92
  6. Step 6: Final answer
    x = 12,242.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.