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Finding the Fourth Proportional to 13,416.78, 18,512.34 and 8,110.56

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Solution

The fourth proportional to 13,416.78, 18,512.34 and 8,110.56 is: 11,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.78 : 18,512.34 = 8,110.56 : x
  2. Step 2: Convert to fraction form
    13,416.78/18,512.34 = 8,110.56/x
  3. Step 3: Cross multiply
    13,416.78x = 18,512.34 × 8,110.56
  4. Step 4: Simplify right side
    13,416.78x = 150,145,444.31
  5. Step 5: Solve for x
    x = 150,145,444.31/13,416.78
  6. Step 6: Final answer
    x = 11,190.87

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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.