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Finding the Fourth Proportional to 13,473.68, 20,213.32 and 5,682.56

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Solution

The fourth proportional to 13,473.68, 20,213.32 and 5,682.56 is: 8,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.68 : 20,213.32 = 5,682.56 : x
  2. Step 2: Convert to fraction form
    13,473.68/20,213.32 = 5,682.56/x
  3. Step 3: Cross multiply
    13,473.68x = 20,213.32 × 5,682.56
  4. Step 4: Simplify right side
    13,473.68x = 114,863,403.70
  5. Step 5: Solve for x
    x = 114,863,403.70/13,473.68
  6. Step 6: Final answer
    x = 8,525.02

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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.