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Finding the Fourth Proportional to 13,634.86, 20,452.26 and 4,274.92

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Solution

The fourth proportional to 13,634.86, 20,452.26 and 4,274.92 is: 6,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.86 : 20,452.26 = 4,274.92 : x
  2. Step 2: Convert to fraction form
    13,634.86/20,452.26 = 4,274.92/x
  3. Step 3: Cross multiply
    13,634.86x = 20,452.26 × 4,274.92
  4. Step 4: Simplify right side
    13,634.86x = 87,431,775.32
  5. Step 5: Solve for x
    x = 87,431,775.32/13,634.86
  6. Step 6: Final answer
    x = 6,412.37

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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.