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Finding the Fourth Proportional to 12,906.08, 17,811.42 and 7,601.94

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Solution

The fourth proportional to 12,906.08, 17,811.42 and 7,601.94 is: 10,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.08 : 17,811.42 = 7,601.94 : x
  2. Step 2: Convert to fraction form
    12,906.08/17,811.42 = 7,601.94/x
  3. Step 3: Cross multiply
    12,906.08x = 17,811.42 × 7,601.94
  4. Step 4: Simplify right side
    12,906.08x = 135,401,346.15
  5. Step 5: Solve for x
    x = 135,401,346.15/12,906.08
  6. Step 6: Final answer
    x = 10,491.28

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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.