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Finding the Fourth Proportional to 20,144.96, 27,800.16 and 11,765.60

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Solution

The fourth proportional to 20,144.96, 27,800.16 and 11,765.60 is: 16,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.96 : 27,800.16 = 11,765.60 : x
  2. Step 2: Convert to fraction form
    20,144.96/27,800.16 = 11,765.60/x
  3. Step 3: Cross multiply
    20,144.96x = 27,800.16 × 11,765.60
  4. Step 4: Simplify right side
    20,144.96x = 327,085,562.50
  5. Step 5: Solve for x
    x = 327,085,562.50/20,144.96
  6. Step 6: Final answer
    x = 16,236.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.