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Finding the Fourth Proportional to 13,682.28, 20,524.64 and 3,822.16

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Solution

The fourth proportional to 13,682.28, 20,524.64 and 3,822.16 is: 5,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.28 : 20,524.64 = 3,822.16 : x
  2. Step 2: Convert to fraction form
    13,682.28/20,524.64 = 3,822.16/x
  3. Step 3: Cross multiply
    13,682.28x = 20,524.64 × 3,822.16
  4. Step 4: Simplify right side
    13,682.28x = 78,448,458.02
  5. Step 5: Solve for x
    x = 78,448,458.02/13,682.28
  6. Step 6: Final answer
    x = 5,733.58

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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.