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Finding the Fourth Proportional to 13,524.63, 20,286.94 and 4,290.63

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Solution

The fourth proportional to 13,524.63, 20,286.94 and 4,290.63 is: 6,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.63 : 20,286.94 = 4,290.63 : x
  2. Step 2: Convert to fraction form
    13,524.63/20,286.94 = 4,290.63/x
  3. Step 3: Cross multiply
    13,524.63x = 20,286.94 × 4,290.63
  4. Step 4: Simplify right side
    13,524.63x = 87,043,753.37
  5. Step 5: Solve for x
    x = 87,043,753.37/13,524.63
  6. Step 6: Final answer
    x = 6,435.94

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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.