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Finding the Fourth Proportional to 13,465.72, 20,201.32 and 5,674.54

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Solution

The fourth proportional to 13,465.72, 20,201.32 and 5,674.54 is: 8,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.72 : 20,201.32 = 5,674.54 : x
  2. Step 2: Convert to fraction form
    13,465.72/20,201.32 = 5,674.54/x
  3. Step 3: Cross multiply
    13,465.72x = 20,201.32 × 5,674.54
  4. Step 4: Simplify right side
    13,465.72x = 114,633,198.39
  5. Step 5: Solve for x
    x = 114,633,198.39/13,465.72
  6. Step 6: Final answer
    x = 8,512.96

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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.