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Finding the Fourth Proportional to 19,238.96, 26,556.83 and 11,287.86

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Solution

The fourth proportional to 19,238.96, 26,556.83 and 11,287.86 is: 15,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,238.96 : 26,556.83 = 11,287.86 : x
  2. Step 2: Convert to fraction form
    19,238.96/26,556.83 = 11,287.86/x
  3. Step 3: Cross multiply
    19,238.96x = 26,556.83 × 11,287.86
  4. Step 4: Simplify right side
    19,238.96x = 299,769,722.64
  5. Step 5: Solve for x
    x = 299,769,722.64/19,238.96
  6. Step 6: Final answer
    x = 15,581.39

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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.