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Finding the Fourth Proportional to 26,949, 37,192.14 and 15,771

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Solution

The fourth proportional to 26,949, 37,192.14 and 15,771 is: 21,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,949 : 37,192.14 = 15,771 : x
  2. Step 2: Convert to fraction form
    26,949/37,192.14 = 15,771/x
  3. Step 3: Cross multiply
    26,949x = 37,192.14 × 15,771
  4. Step 4: Simplify right side
    26,949x = 586,557,239.94
  5. Step 5: Solve for x
    x = 586,557,239.94/26,949
  6. Step 6: Final answer
    x = 21,765.45

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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.