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Finding the Fourth Proportional to 23,229.54, 32,056.74 and 12,619.44

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Solution

The fourth proportional to 23,229.54, 32,056.74 and 12,619.44 is: 17,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.54 : 32,056.74 = 12,619.44 : x
  2. Step 2: Convert to fraction form
    23,229.54/32,056.74 = 12,619.44/x
  3. Step 3: Cross multiply
    23,229.54x = 32,056.74 × 12,619.44
  4. Step 4: Simplify right side
    23,229.54x = 404,538,107.03
  5. Step 5: Solve for x
    x = 404,538,107.03/23,229.54
  6. Step 6: Final answer
    x = 17,414.81

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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.