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Finding the Fourth Proportional to 11,413.80, 17,096.40 and 9,226.80

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Solution

The fourth proportional to 11,413.80, 17,096.40 and 9,226.80 is: 13,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.80 : 17,096.40 = 9,226.80 : x
  2. Step 2: Convert to fraction form
    11,413.80/17,096.40 = 9,226.80/x
  3. Step 3: Cross multiply
    11,413.80x = 17,096.40 × 9,226.80
  4. Step 4: Simplify right side
    11,413.80x = 157,745,063.52
  5. Step 5: Solve for x
    x = 157,745,063.52/11,413.80
  6. Step 6: Final answer
    x = 13,820.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.