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Finding the Fourth Proportional to 12,906.82, 19,360.22 and 3,672.82

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Solution

The fourth proportional to 12,906.82, 19,360.22 and 3,672.82 is: 5,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.82 : 19,360.22 = 3,672.82 : x
  2. Step 2: Convert to fraction form
    12,906.82/19,360.22 = 3,672.82/x
  3. Step 3: Cross multiply
    12,906.82x = 19,360.22 × 3,672.82
  4. Step 4: Simplify right side
    12,906.82x = 71,106,603.22
  5. Step 5: Solve for x
    x = 71,106,603.22/12,906.82
  6. Step 6: Final answer
    x = 5,509.23

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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.