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Finding the Fourth Proportional to 38,194.60, 57,297.30 and 11,896.60

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Solution

The fourth proportional to 38,194.60, 57,297.30 and 11,896.60 is: 17,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,194.60 : 57,297.30 = 11,896.60 : x
  2. Step 2: Convert to fraction form
    38,194.60/57,297.30 = 11,896.60/x
  3. Step 3: Cross multiply
    38,194.60x = 57,297.30 × 11,896.60
  4. Step 4: Simplify right side
    38,194.60x = 681,643,059.18
  5. Step 5: Solve for x
    x = 681,643,059.18/38,194.60
  6. Step 6: Final answer
    x = 17,846.58

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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.