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Finding the Fourth Proportional to 17,704.94, 24,431.87 and 9,745.62

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Solution

The fourth proportional to 17,704.94, 24,431.87 and 9,745.62 is: 13,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.94 : 24,431.87 = 9,745.62 : x
  2. Step 2: Convert to fraction form
    17,704.94/24,431.87 = 9,745.62/x
  3. Step 3: Cross multiply
    17,704.94x = 24,431.87 × 9,745.62
  4. Step 4: Simplify right side
    17,704.94x = 238,103,672.18
  5. Step 5: Solve for x
    x = 238,103,672.18/17,704.94
  6. Step 6: Final answer
    x = 13,448.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.