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Finding the Fourth Proportional to 13,384.26, 20,074.68 and 3,524.30

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Solution

The fourth proportional to 13,384.26, 20,074.68 and 3,524.30 is: 5,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.26 : 20,074.68 = 3,524.30 : x
  2. Step 2: Convert to fraction form
    13,384.26/20,074.68 = 3,524.30/x
  3. Step 3: Cross multiply
    13,384.26x = 20,074.68 × 3,524.30
  4. Step 4: Simplify right side
    13,384.26x = 70,749,194.72
  5. Step 5: Solve for x
    x = 70,749,194.72/13,384.26
  6. Step 6: Final answer
    x = 5,286.00

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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.