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Finding the Fourth Proportional to 26,238.73, 39,346.48 and 7,514.50

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Solution

The fourth proportional to 26,238.73, 39,346.48 and 7,514.50 is: 11,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,238.73 : 39,346.48 = 7,514.50 : x
  2. Step 2: Convert to fraction form
    26,238.73/39,346.48 = 7,514.50/x
  3. Step 3: Cross multiply
    26,238.73x = 39,346.48 × 7,514.50
  4. Step 4: Simplify right side
    26,238.73x = 295,669,123.96
  5. Step 5: Solve for x
    x = 295,669,123.96/26,238.73
  6. Step 6: Final answer
    x = 11,268.42

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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.