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Finding the Fourth Proportional to 26,422.20, 39,629.43 and 7,697.21

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Solution

The fourth proportional to 26,422.20, 39,629.43 and 7,697.21 is: 11,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422.20 : 39,629.43 = 7,697.21 : x
  2. Step 2: Convert to fraction form
    26,422.20/39,629.43 = 7,697.21/x
  3. Step 3: Cross multiply
    26,422.20x = 39,629.43 × 7,697.21
  4. Step 4: Simplify right side
    26,422.20x = 305,035,846.74
  5. Step 5: Solve for x
    x = 305,035,846.74/26,422.20
  6. Step 6: Final answer
    x = 11,544.68

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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.