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Finding the Fourth Proportional to 13,481.52, 18,602.91 and 7,816.38

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Solution

The fourth proportional to 13,481.52, 18,602.91 and 7,816.38 is: 10,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.52 : 18,602.91 = 7,816.38 : x
  2. Step 2: Convert to fraction form
    13,481.52/18,602.91 = 7,816.38/x
  3. Step 3: Cross multiply
    13,481.52x = 18,602.91 × 7,816.38
  4. Step 4: Simplify right side
    13,481.52x = 145,407,413.67
  5. Step 5: Solve for x
    x = 145,407,413.67/13,481.52
  6. Step 6: Final answer
    x = 10,785.68

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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.