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Finding the Fourth Proportional to 19,896.78, 27,458 and 10,945.06

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Solution

The fourth proportional to 19,896.78, 27,458 and 10,945.06 is: 15,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896.78 : 27,458 = 10,945.06 : x
  2. Step 2: Convert to fraction form
    19,896.78/27,458 = 10,945.06/x
  3. Step 3: Cross multiply
    19,896.78x = 27,458 × 10,945.06
  4. Step 4: Simplify right side
    19,896.78x = 300,529,457.48
  5. Step 5: Solve for x
    x = 300,529,457.48/19,896.78
  6. Step 6: Final answer
    x = 15,104.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.