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Finding the Fourth Proportional to 13,485.98, 20,229.17 and 5,166.42

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Solution

The fourth proportional to 13,485.98, 20,229.17 and 5,166.42 is: 7,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.98 : 20,229.17 = 5,166.42 : x
  2. Step 2: Convert to fraction form
    13,485.98/20,229.17 = 5,166.42/x
  3. Step 3: Cross multiply
    13,485.98x = 20,229.17 × 5,166.42
  4. Step 4: Simplify right side
    13,485.98x = 104,512,362.64
  5. Step 5: Solve for x
    x = 104,512,362.64/13,485.98
  6. Step 6: Final answer
    x = 7,749.71

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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.