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Finding the Fourth Proportional to 12,912.90, 19,320.46 and 7,650.73

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Solution

The fourth proportional to 12,912.90, 19,320.46 and 7,650.73 is: 11,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.90 : 19,320.46 = 7,650.73 : x
  2. Step 2: Convert to fraction form
    12,912.90/19,320.46 = 7,650.73/x
  3. Step 3: Cross multiply
    12,912.90x = 19,320.46 × 7,650.73
  4. Step 4: Simplify right side
    12,912.90x = 147,815,622.94
  5. Step 5: Solve for x
    x = 147,815,622.94/12,912.90
  6. Step 6: Final answer
    x = 11,447.13

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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.