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Finding the Fourth Proportional to 24,204.95, 36,306.43 and 8,413.56

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Solution

The fourth proportional to 24,204.95, 36,306.43 and 8,413.56 is: 12,619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204.95 : 36,306.43 = 8,413.56 : x
  2. Step 2: Convert to fraction form
    24,204.95/36,306.43 = 8,413.56/x
  3. Step 3: Cross multiply
    24,204.95x = 36,306.43 × 8,413.56
  4. Step 4: Simplify right side
    24,204.95x = 305,466,236.42
  5. Step 5: Solve for x
    x = 305,466,236.42/24,204.95
  6. Step 6: Final answer
    x = 12,619.99

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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.