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Finding the Fourth Proportional to 27,916.14, 41,874.67 and 8,195.18

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Solution

The fourth proportional to 27,916.14, 41,874.67 and 8,195.18 is: 12,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,916.14 : 41,874.67 = 8,195.18 : x
  2. Step 2: Convert to fraction form
    27,916.14/41,874.67 = 8,195.18/x
  3. Step 3: Cross multiply
    27,916.14x = 41,874.67 × 8,195.18
  4. Step 4: Simplify right side
    27,916.14x = 343,170,258.96
  5. Step 5: Solve for x
    x = 343,170,258.96/27,916.14
  6. Step 6: Final answer
    x = 12,292.90

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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.