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Finding the Fourth Proportional to 27,416.56, 41,105.37 and 11,838.64

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Solution

The fourth proportional to 27,416.56, 41,105.37 and 11,838.64 is: 17,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.56 : 41,105.37 = 11,838.64 : x
  2. Step 2: Convert to fraction form
    27,416.56/41,105.37 = 11,838.64/x
  3. Step 3: Cross multiply
    27,416.56x = 41,105.37 × 11,838.64
  4. Step 4: Simplify right side
    27,416.56x = 486,631,677.50
  5. Step 5: Solve for x
    x = 486,631,677.50/27,416.56
  6. Step 6: Final answer
    x = 17,749.55

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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.