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Finding the Fourth Proportional to 12,893.28, 19,338.53 and 7,961.60

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Solution

The fourth proportional to 12,893.28, 19,338.53 and 7,961.60 is: 11,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.28 : 19,338.53 = 7,961.60 : x
  2. Step 2: Convert to fraction form
    12,893.28/19,338.53 = 7,961.60/x
  3. Step 3: Cross multiply
    12,893.28x = 19,338.53 × 7,961.60
  4. Step 4: Simplify right side
    12,893.28x = 153,965,640.45
  5. Step 5: Solve for x
    x = 153,965,640.45/12,893.28
  6. Step 6: Final answer
    x = 11,941.54

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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.