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Finding the Fourth Proportional to 13,728.62, 18,945.33 and 7,440.92

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Solution

The fourth proportional to 13,728.62, 18,945.33 and 7,440.92 is: 10,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.62 : 18,945.33 = 7,440.92 : x
  2. Step 2: Convert to fraction form
    13,728.62/18,945.33 = 7,440.92/x
  3. Step 3: Cross multiply
    13,728.62x = 18,945.33 × 7,440.92
  4. Step 4: Simplify right side
    13,728.62x = 140,970,684.90
  5. Step 5: Solve for x
    x = 140,970,684.90/13,728.62
  6. Step 6: Final answer
    x = 10,268.38

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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.