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Finding the Fourth Proportional to 16,961.44, 23,405.52 and 9,508

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Solution

The fourth proportional to 16,961.44, 23,405.52 and 9,508 is: 13,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.44 : 23,405.52 = 9,508 : x
  2. Step 2: Convert to fraction form
    16,961.44/23,405.52 = 9,508/x
  3. Step 3: Cross multiply
    16,961.44x = 23,405.52 × 9,508
  4. Step 4: Simplify right side
    16,961.44x = 222,539,684.16
  5. Step 5: Solve for x
    x = 222,539,684.16/16,961.44
  6. Step 6: Final answer
    x = 13,120.33

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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.