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Finding the Fourth Proportional to 13,535.78, 20,253.75 and 8,202.03

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Solution

The fourth proportional to 13,535.78, 20,253.75 and 8,202.03 is: 12,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.78 : 20,253.75 = 8,202.03 : x
  2. Step 2: Convert to fraction form
    13,535.78/20,253.75 = 8,202.03/x
  3. Step 3: Cross multiply
    13,535.78x = 20,253.75 × 8,202.03
  4. Step 4: Simplify right side
    13,535.78x = 166,121,758.40
  5. Step 5: Solve for x
    x = 166,121,758.40/13,535.78
  6. Step 6: Final answer
    x = 12,272.79

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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.