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Finding the Fourth Proportional to 24,413.85, 36,626.42 and 7,773.86

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Solution

The fourth proportional to 24,413.85, 36,626.42 and 7,773.86 is: 11,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.85 : 36,626.42 = 7,773.86 : x
  2. Step 2: Convert to fraction form
    24,413.85/36,626.42 = 7,773.86/x
  3. Step 3: Cross multiply
    24,413.85x = 36,626.42 × 7,773.86
  4. Step 4: Simplify right side
    24,413.85x = 284,728,772.38
  5. Step 5: Solve for x
    x = 284,728,772.38/24,413.85
  6. Step 6: Final answer
    x = 11,662.59

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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.