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Finding the Fourth Proportional to 12,755.94, 19,106.22 and 6,168.32

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Solution

The fourth proportional to 12,755.94, 19,106.22 and 6,168.32 is: 9,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.94 : 19,106.22 = 6,168.32 : x
  2. Step 2: Convert to fraction form
    12,755.94/19,106.22 = 6,168.32/x
  3. Step 3: Cross multiply
    12,755.94x = 19,106.22 × 6,168.32
  4. Step 4: Simplify right side
    12,755.94x = 117,853,183.42
  5. Step 5: Solve for x
    x = 117,853,183.42/12,755.94
  6. Step 6: Final answer
    x = 9,239.08

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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.