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Finding the Fourth Proportional to 13,383.90, 18,469.92 and 8,077.71

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Solution

The fourth proportional to 13,383.90, 18,469.92 and 8,077.71 is: 11,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.90 : 18,469.92 = 8,077.71 : x
  2. Step 2: Convert to fraction form
    13,383.90/18,469.92 = 8,077.71/x
  3. Step 3: Cross multiply
    13,383.90x = 18,469.92 × 8,077.71
  4. Step 4: Simplify right side
    13,383.90x = 149,194,657.48
  5. Step 5: Solve for x
    x = 149,194,657.48/13,383.90
  6. Step 6: Final answer
    x = 11,147.32

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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.