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Finding the Fourth Proportional to 13,884.42, 20,826.61 and 4,524.43

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Solution

The fourth proportional to 13,884.42, 20,826.61 and 4,524.43 is: 6,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.42 : 20,826.61 = 4,524.43 : x
  2. Step 2: Convert to fraction form
    13,884.42/20,826.61 = 4,524.43/x
  3. Step 3: Cross multiply
    13,884.42x = 20,826.61 × 4,524.43
  4. Step 4: Simplify right side
    13,884.42x = 94,228,539.08
  5. Step 5: Solve for x
    x = 94,228,539.08/13,884.42
  6. Step 6: Final answer
    x = 6,786.64

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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.