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Finding the Fourth Proportional to 27,917.34, 41,881.86 and 8,194.32

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Solution

The fourth proportional to 27,917.34, 41,881.86 and 8,194.32 is: 12,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,917.34 : 41,881.86 = 8,194.32 : x
  2. Step 2: Convert to fraction form
    27,917.34/41,881.86 = 8,194.32/x
  3. Step 3: Cross multiply
    27,917.34x = 41,881.86 × 8,194.32
  4. Step 4: Simplify right side
    27,917.34x = 343,193,363.04
  5. Step 5: Solve for x
    x = 343,193,363.04/27,917.34
  6. Step 6: Final answer
    x = 12,293.20

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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.