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Finding the Fourth Proportional to 27,874.94, 41,809.32 and 8,153.66

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Solution

The fourth proportional to 27,874.94, 41,809.32 and 8,153.66 is: 12,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.94 : 41,809.32 = 8,153.66 : x
  2. Step 2: Convert to fraction form
    27,874.94/41,809.32 = 8,153.66/x
  3. Step 3: Cross multiply
    27,874.94x = 41,809.32 × 8,153.66
  4. Step 4: Simplify right side
    27,874.94x = 340,898,980.11
  5. Step 5: Solve for x
    x = 340,898,980.11/27,874.94
  6. Step 6: Final answer
    x = 12,229.59

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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.