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Finding the Fourth Proportional to 13,596.30, 20,361.60 and 7,735.14

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Solution

The fourth proportional to 13,596.30, 20,361.60 and 7,735.14 is: 11,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.30 : 20,361.60 = 7,735.14 : x
  2. Step 2: Convert to fraction form
    13,596.30/20,361.60 = 7,735.14/x
  3. Step 3: Cross multiply
    13,596.30x = 20,361.60 × 7,735.14
  4. Step 4: Simplify right side
    13,596.30x = 157,499,826.62
  5. Step 5: Solve for x
    x = 157,499,826.62/13,596.30
  6. Step 6: Final answer
    x = 11,584.02

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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.