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Finding the Fourth Proportional to 13,650.16, 20,475.25 and 3,789.44

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Solution

The fourth proportional to 13,650.16, 20,475.25 and 3,789.44 is: 5,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.16 : 20,475.25 = 3,789.44 : x
  2. Step 2: Convert to fraction form
    13,650.16/20,475.25 = 3,789.44/x
  3. Step 3: Cross multiply
    13,650.16x = 20,475.25 × 3,789.44
  4. Step 4: Simplify right side
    13,650.16x = 77,589,731.36
  5. Step 5: Solve for x
    x = 77,589,731.36/13,650.16
  6. Step 6: Final answer
    x = 5,684.16

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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.