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Finding the Fourth Proportional to 16,563.97, 24,745.22 and 11,846.53

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Solution

The fourth proportional to 16,563.97, 24,745.22 and 11,846.53 is: 17,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.97 : 24,745.22 = 11,846.53 : x
  2. Step 2: Convert to fraction form
    16,563.97/24,745.22 = 11,846.53/x
  3. Step 3: Cross multiply
    16,563.97x = 24,745.22 × 11,846.53
  4. Step 4: Simplify right side
    16,563.97x = 293,144,991.09
  5. Step 5: Solve for x
    x = 293,144,991.09/16,563.97
  6. Step 6: Final answer
    x = 17,697.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.