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Finding the Fourth Proportional to 12,755.70, 19,105.77 and 6,168

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Solution

The fourth proportional to 12,755.70, 19,105.77 and 6,168 is: 9,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.70 : 19,105.77 = 6,168 : x
  2. Step 2: Convert to fraction form
    12,755.70/19,105.77 = 6,168/x
  3. Step 3: Cross multiply
    12,755.70x = 19,105.77 × 6,168
  4. Step 4: Simplify right side
    12,755.70x = 117,844,389.36
  5. Step 5: Solve for x
    x = 117,844,389.36/12,755.70
  6. Step 6: Final answer
    x = 9,238.57

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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.