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Finding the Fourth Proportional to 27,894.80, 41,809.80 and 11,246.60

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Solution

The fourth proportional to 27,894.80, 41,809.80 and 11,246.60 is: 16,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.80 : 41,809.80 = 11,246.60 : x
  2. Step 2: Convert to fraction form
    27,894.80/41,809.80 = 11,246.60/x
  3. Step 3: Cross multiply
    27,894.80x = 41,809.80 × 11,246.60
  4. Step 4: Simplify right side
    27,894.80x = 470,218,096.68
  5. Step 5: Solve for x
    x = 470,218,096.68/27,894.80
  6. Step 6: Final answer
    x = 16,856.84

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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.