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Finding the Fourth Proportional to 12,900.37, 17,794.96 and 8,112.73

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Solution

The fourth proportional to 12,900.37, 17,794.96 and 8,112.73 is: 11,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.37 : 17,794.96 = 8,112.73 : x
  2. Step 2: Convert to fraction form
    12,900.37/17,794.96 = 8,112.73/x
  3. Step 3: Cross multiply
    12,900.37x = 17,794.96 × 8,112.73
  4. Step 4: Simplify right side
    12,900.37x = 144,365,705.84
  5. Step 5: Solve for x
    x = 144,365,705.84/12,900.37
  6. Step 6: Final answer
    x = 11,190.82

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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.