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Finding the Fourth Proportional to 13,649.88, 20,475.09 and 5,752.56

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Solution

The fourth proportional to 13,649.88, 20,475.09 and 5,752.56 is: 8,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.88 : 20,475.09 = 5,752.56 : x
  2. Step 2: Convert to fraction form
    13,649.88/20,475.09 = 5,752.56/x
  3. Step 3: Cross multiply
    13,649.88x = 20,475.09 × 5,752.56
  4. Step 4: Simplify right side
    13,649.88x = 117,784,183.73
  5. Step 5: Solve for x
    x = 117,784,183.73/13,649.88
  6. Step 6: Final answer
    x = 8,628.95

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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.