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Finding the Fourth Proportional to 13,752.36, 20,627.85 and 7,524.54

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Solution

The fourth proportional to 13,752.36, 20,627.85 and 7,524.54 is: 11,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.36 : 20,627.85 = 7,524.54 : x
  2. Step 2: Convert to fraction form
    13,752.36/20,627.85 = 7,524.54/x
  3. Step 3: Cross multiply
    13,752.36x = 20,627.85 × 7,524.54
  4. Step 4: Simplify right side
    13,752.36x = 155,215,082.44
  5. Step 5: Solve for x
    x = 155,215,082.44/13,752.36
  6. Step 6: Final answer
    x = 11,286.43

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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.