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Finding the Fourth Proportional to 20,205.50, 27,884.45 and 11,253

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Solution

The fourth proportional to 20,205.50, 27,884.45 and 11,253 is: 15,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.50 : 27,884.45 = 11,253 : x
  2. Step 2: Convert to fraction form
    20,205.50/27,884.45 = 11,253/x
  3. Step 3: Cross multiply
    20,205.50x = 27,884.45 × 11,253
  4. Step 4: Simplify right side
    20,205.50x = 313,783,743.98
  5. Step 5: Solve for x
    x = 313,783,743.98/20,205.50
  6. Step 6: Final answer
    x = 15,529.62

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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.