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Finding the Fourth Proportional to 26,326, 39,495.24 and 7,858.48

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Solution

The fourth proportional to 26,326, 39,495.24 and 7,858.48 is: 11,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,326 : 39,495.24 = 7,858.48 : x
  2. Step 2: Convert to fraction form
    26,326/39,495.24 = 7,858.48/x
  3. Step 3: Cross multiply
    26,326x = 39,495.24 × 7,858.48
  4. Step 4: Simplify right side
    26,326x = 310,372,553.64
  5. Step 5: Solve for x
    x = 310,372,553.64/26,326
  6. Step 6: Final answer
    x = 11,789.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.