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Finding the Fourth Proportional to 23,962.22, 35,942.10 and 9,170

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Solution

The fourth proportional to 23,962.22, 35,942.10 and 9,170 is: 13,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,962.22 : 35,942.10 = 9,170 : x
  2. Step 2: Convert to fraction form
    23,962.22/35,942.10 = 9,170/x
  3. Step 3: Cross multiply
    23,962.22x = 35,942.10 × 9,170
  4. Step 4: Simplify right side
    23,962.22x = 329,589,057
  5. Step 5: Solve for x
    x = 329,589,057/23,962.22
  6. Step 6: Final answer
    x = 13,754.53

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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.