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Finding the Fourth Proportional to 27,874.29, 41,818.32 and 8,153.22

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Solution

The fourth proportional to 27,874.29, 41,818.32 and 8,153.22 is: 12,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.29 : 41,818.32 = 8,153.22 : x
  2. Step 2: Convert to fraction form
    27,874.29/41,818.32 = 8,153.22/x
  3. Step 3: Cross multiply
    27,874.29x = 41,818.32 × 8,153.22
  4. Step 4: Simplify right side
    27,874.29x = 340,953,962.99
  5. Step 5: Solve for x
    x = 340,953,962.99/27,874.29
  6. Step 6: Final answer
    x = 12,231.84

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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.