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Finding the Fourth Proportional to 19,760, 27,273.36 and 13,046.96

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Solution

The fourth proportional to 19,760, 27,273.36 and 13,046.96 is: 18,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760 : 27,273.36 = 13,046.96 : x
  2. Step 2: Convert to fraction form
    19,760/27,273.36 = 13,046.96/x
  3. Step 3: Cross multiply
    19,760x = 27,273.36 × 13,046.96
  4. Step 4: Simplify right side
    19,760x = 355,834,436.99
  5. Step 5: Solve for x
    x = 355,834,436.99/19,760
  6. Step 6: Final answer
    x = 18,007.82

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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.