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Finding the Fourth Proportional to 12,954.14, 19,431.21 and 5,168.42

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Solution

The fourth proportional to 12,954.14, 19,431.21 and 5,168.42 is: 7,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.14 : 19,431.21 = 5,168.42 : x
  2. Step 2: Convert to fraction form
    12,954.14/19,431.21 = 5,168.42/x
  3. Step 3: Cross multiply
    12,954.14x = 19,431.21 × 5,168.42
  4. Step 4: Simplify right side
    12,954.14x = 100,428,557.23
  5. Step 5: Solve for x
    x = 100,428,557.23/12,954.14
  6. Step 6: Final answer
    x = 7,752.63

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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.