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Finding the Fourth Proportional to 19,105.50, 26,365.60 and 10,722

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Solution

The fourth proportional to 19,105.50, 26,365.60 and 10,722 is: 14,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,105.50 : 26,365.60 = 10,722 : x
  2. Step 2: Convert to fraction form
    19,105.50/26,365.60 = 10,722/x
  3. Step 3: Cross multiply
    19,105.50x = 26,365.60 × 10,722
  4. Step 4: Simplify right side
    19,105.50x = 282,691,963.20
  5. Step 5: Solve for x
    x = 282,691,963.20/19,105.50
  6. Step 6: Final answer
    x = 14,796.37

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Why These Related Problems?

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