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Finding the Fourth Proportional to 17,413.92, 26,114.40 and 5,724

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Solution

The fourth proportional to 17,413.92, 26,114.40 and 5,724 is: 8,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.92 : 26,114.40 = 5,724 : x
  2. Step 2: Convert to fraction form
    17,413.92/26,114.40 = 5,724/x
  3. Step 3: Cross multiply
    17,413.92x = 26,114.40 × 5,724
  4. Step 4: Simplify right side
    17,413.92x = 149,478,825.60
  5. Step 5: Solve for x
    x = 149,478,825.60/17,413.92
  6. Step 6: Final answer
    x = 8,583.87

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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.