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Finding the Fourth Proportional to 27,922.68, 41,878.32 and 8,195.94

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Solution

The fourth proportional to 27,922.68, 41,878.32 and 8,195.94 is: 12,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922.68 : 41,878.32 = 8,195.94 : x
  2. Step 2: Convert to fraction form
    27,922.68/41,878.32 = 8,195.94/x
  3. Step 3: Cross multiply
    27,922.68x = 41,878.32 × 8,195.94
  4. Step 4: Simplify right side
    27,922.68x = 343,232,198.02
  5. Step 5: Solve for x
    x = 343,232,198.02/27,922.68
  6. Step 6: Final answer
    x = 12,292.24

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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.