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Finding the Fourth Proportional to 16,781.32, 23,157.73 and 9,611

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Solution

The fourth proportional to 16,781.32, 23,157.73 and 9,611 is: 13,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.32 : 23,157.73 = 9,611 : x
  2. Step 2: Convert to fraction form
    16,781.32/23,157.73 = 9,611/x
  3. Step 3: Cross multiply
    16,781.32x = 23,157.73 × 9,611
  4. Step 4: Simplify right side
    16,781.32x = 222,568,943.03
  5. Step 5: Solve for x
    x = 222,568,943.03/16,781.32
  6. Step 6: Final answer
    x = 13,262.90

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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.