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Finding the Fourth Proportional to 13,771.72, 20,651.28 and 7,533.88

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Solution

The fourth proportional to 13,771.72, 20,651.28 and 7,533.88 is: 11,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.72 : 20,651.28 = 7,533.88 : x
  2. Step 2: Convert to fraction form
    13,771.72/20,651.28 = 7,533.88/x
  3. Step 3: Cross multiply
    13,771.72x = 20,651.28 × 7,533.88
  4. Step 4: Simplify right side
    13,771.72x = 155,584,265.37
  5. Step 5: Solve for x
    x = 155,584,265.37/13,771.72
  6. Step 6: Final answer
    x = 11,297.37

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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.