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Finding the Fourth Proportional to 25,173.56, 37,757.90 and 7,643.54

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Solution

The fourth proportional to 25,173.56, 37,757.90 and 7,643.54 is: 11,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,173.56 : 37,757.90 = 7,643.54 : x
  2. Step 2: Convert to fraction form
    25,173.56/37,757.90 = 7,643.54/x
  3. Step 3: Cross multiply
    25,173.56x = 37,757.90 × 7,643.54
  4. Step 4: Simplify right side
    25,173.56x = 288,603,791.96
  5. Step 5: Solve for x
    x = 288,603,791.96/25,173.56
  6. Step 6: Final answer
    x = 11,464.56

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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.