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Finding the Fourth Proportional to 13,625, 20,437.97 and 3,765.04

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Solution

The fourth proportional to 13,625, 20,437.97 and 3,765.04 is: 5,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625 : 20,437.97 = 3,765.04 : x
  2. Step 2: Convert to fraction form
    13,625/20,437.97 = 3,765.04/x
  3. Step 3: Cross multiply
    13,625x = 20,437.97 × 3,765.04
  4. Step 4: Simplify right side
    13,625x = 76,949,653.55
  5. Step 5: Solve for x
    x = 76,949,653.55/13,625
  6. Step 6: Final answer
    x = 5,647.68

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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.