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Finding the Fourth Proportional to 20,299.84, 30,413.58 and 12,398.20

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Solution

The fourth proportional to 20,299.84, 30,413.58 and 12,398.20 is: 18,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299.84 : 30,413.58 = 12,398.20 : x
  2. Step 2: Convert to fraction form
    20,299.84/30,413.58 = 12,398.20/x
  3. Step 3: Cross multiply
    20,299.84x = 30,413.58 × 12,398.20
  4. Step 4: Simplify right side
    20,299.84x = 377,073,647.56
  5. Step 5: Solve for x
    x = 377,073,647.56/20,299.84
  6. Step 6: Final answer
    x = 18,575.20

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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.