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Finding the Fourth Proportional to 18,289.26, 27,413.10 and 7,193.88

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Solution

The fourth proportional to 18,289.26, 27,413.10 and 7,193.88 is: 10,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,289.26 : 27,413.10 = 7,193.88 : x
  2. Step 2: Convert to fraction form
    18,289.26/27,413.10 = 7,193.88/x
  3. Step 3: Cross multiply
    18,289.26x = 27,413.10 × 7,193.88
  4. Step 4: Simplify right side
    18,289.26x = 197,206,551.83
  5. Step 5: Solve for x
    x = 197,206,551.83/18,289.26
  6. Step 6: Final answer
    x = 10,782.64

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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.