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Finding the Fourth Proportional to 13,628.64, 20,446.50 and 6,229.56

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Solution

The fourth proportional to 13,628.64, 20,446.50 and 6,229.56 is: 9,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.64 : 20,446.50 = 6,229.56 : x
  2. Step 2: Convert to fraction form
    13,628.64/20,446.50 = 6,229.56/x
  3. Step 3: Cross multiply
    13,628.64x = 20,446.50 × 6,229.56
  4. Step 4: Simplify right side
    13,628.64x = 127,372,698.54
  5. Step 5: Solve for x
    x = 127,372,698.54/13,628.64
  6. Step 6: Final answer
    x = 9,345.96

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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.