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Finding the Fourth Proportional to 27,202.60, 40,819.50 and 12,207.96

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Solution

The fourth proportional to 27,202.60, 40,819.50 and 12,207.96 is: 18,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.60 : 40,819.50 = 12,207.96 : x
  2. Step 2: Convert to fraction form
    27,202.60/40,819.50 = 12,207.96/x
  3. Step 3: Cross multiply
    27,202.60x = 40,819.50 × 12,207.96
  4. Step 4: Simplify right side
    27,202.60x = 498,322,823.22
  5. Step 5: Solve for x
    x = 498,322,823.22/27,202.60
  6. Step 6: Final answer
    x = 18,318.94

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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.