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Finding the Fourth Proportional to 13,597.27, 20,396.14 and 3,736.50

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Solution

The fourth proportional to 13,597.27, 20,396.14 and 3,736.50 is: 5,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.27 : 20,396.14 = 3,736.50 : x
  2. Step 2: Convert to fraction form
    13,597.27/20,396.14 = 3,736.50/x
  3. Step 3: Cross multiply
    13,597.27x = 20,396.14 × 3,736.50
  4. Step 4: Simplify right side
    13,597.27x = 76,210,091.28
  5. Step 5: Solve for x
    x = 76,210,091.28/13,597.27
  6. Step 6: Final answer
    x = 5,604.81

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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.