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Finding the Fourth Proportional to 13,596.27, 20,361.60 and 7,735.11

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Solution

The fourth proportional to 13,596.27, 20,361.60 and 7,735.11 is: 11,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.27 : 20,361.60 = 7,735.11 : x
  2. Step 2: Convert to fraction form
    13,596.27/20,361.60 = 7,735.11/x
  3. Step 3: Cross multiply
    13,596.27x = 20,361.60 × 7,735.11
  4. Step 4: Simplify right side
    13,596.27x = 157,499,215.78
  5. Step 5: Solve for x
    x = 157,499,215.78/13,596.27
  6. Step 6: Final answer
    x = 11,584.00

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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.