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Finding the Fourth Proportional to 12,774.54, 19,161.21 and 3,414.36

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Solution

The fourth proportional to 12,774.54, 19,161.21 and 3,414.36 is: 5,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.54 : 19,161.21 = 3,414.36 : x
  2. Step 2: Convert to fraction form
    12,774.54/19,161.21 = 3,414.36/x
  3. Step 3: Cross multiply
    12,774.54x = 19,161.21 × 3,414.36
  4. Step 4: Simplify right side
    12,774.54x = 65,423,268.98
  5. Step 5: Solve for x
    x = 65,423,268.98/12,774.54
  6. Step 6: Final answer
    x = 5,121.38

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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.