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Finding the Fourth Proportional to 13,522.68, 20,284.49 and 3,662.21

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Solution

The fourth proportional to 13,522.68, 20,284.49 and 3,662.21 is: 5,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.68 : 20,284.49 = 3,662.21 : x
  2. Step 2: Convert to fraction form
    13,522.68/20,284.49 = 3,662.21/x
  3. Step 3: Cross multiply
    13,522.68x = 20,284.49 × 3,662.21
  4. Step 4: Simplify right side
    13,522.68x = 74,286,121.99
  5. Step 5: Solve for x
    x = 74,286,121.99/13,522.68
  6. Step 6: Final answer
    x = 5,493.45

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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.