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Finding the Fourth Proportional to 19,286.82, 26,614.74 and 10,902.78

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Solution

The fourth proportional to 19,286.82, 26,614.74 and 10,902.78 is: 15,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286.82 : 26,614.74 = 10,902.78 : x
  2. Step 2: Convert to fraction form
    19,286.82/26,614.74 = 10,902.78/x
  3. Step 3: Cross multiply
    19,286.82x = 26,614.74 × 10,902.78
  4. Step 4: Simplify right side
    19,286.82x = 290,174,654.98
  5. Step 5: Solve for x
    x = 290,174,654.98/19,286.82
  6. Step 6: Final answer
    x = 15,045.23

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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.