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Finding the Fourth Proportional to 24,413.34, 36,618.15 and 7,773.90

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Solution

The fourth proportional to 24,413.34, 36,618.15 and 7,773.90 is: 11,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.34 : 36,618.15 = 7,773.90 : x
  2. Step 2: Convert to fraction form
    24,413.34/36,618.15 = 7,773.90/x
  3. Step 3: Cross multiply
    24,413.34x = 36,618.15 × 7,773.90
  4. Step 4: Simplify right side
    24,413.34x = 284,665,836.29
  5. Step 5: Solve for x
    x = 284,665,836.29/24,413.34
  6. Step 6: Final answer
    x = 11,660.26

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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.