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Finding the Fourth Proportional to 23,608, 35,413.62 and 7,813

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Solution

The fourth proportional to 23,608, 35,413.62 and 7,813 is: 11,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,608 : 35,413.62 = 7,813 : x
  2. Step 2: Convert to fraction form
    23,608/35,413.62 = 7,813/x
  3. Step 3: Cross multiply
    23,608x = 35,413.62 × 7,813
  4. Step 4: Simplify right side
    23,608x = 276,686,613.06
  5. Step 5: Solve for x
    x = 276,686,613.06/23,608
  6. Step 6: Final answer
    x = 11,720.04

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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.