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Finding the Fourth Proportional to 12,846.36, 19,273.43 and 9,105.36

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Solution

The fourth proportional to 12,846.36, 19,273.43 and 9,105.36 is: 13,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.36 : 19,273.43 = 9,105.36 : x
  2. Step 2: Convert to fraction form
    12,846.36/19,273.43 = 9,105.36/x
  3. Step 3: Cross multiply
    12,846.36x = 19,273.43 × 9,105.36
  4. Step 4: Simplify right side
    12,846.36x = 175,491,473.06
  5. Step 5: Solve for x
    x = 175,491,473.06/12,846.36
  6. Step 6: Final answer
    x = 13,660.79

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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.