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Finding the Fourth Proportional to 12,939.60, 19,380.24 and 7,734.60

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Solution

The fourth proportional to 12,939.60, 19,380.24 and 7,734.60 is: 11,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.60 : 19,380.24 = 7,734.60 : x
  2. Step 2: Convert to fraction form
    12,939.60/19,380.24 = 7,734.60/x
  3. Step 3: Cross multiply
    12,939.60x = 19,380.24 × 7,734.60
  4. Step 4: Simplify right side
    12,939.60x = 149,898,404.30
  5. Step 5: Solve for x
    x = 149,898,404.30/12,939.60
  6. Step 6: Final answer
    x = 11,584.47

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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.