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Finding the Fourth Proportional to 21,021.20, 31,474.20 and 16,413.20

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Solution

The fourth proportional to 21,021.20, 31,474.20 and 16,413.20 is: 24,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,021.20 : 31,474.20 = 16,413.20 : x
  2. Step 2: Convert to fraction form
    21,021.20/31,474.20 = 16,413.20/x
  3. Step 3: Cross multiply
    21,021.20x = 31,474.20 × 16,413.20
  4. Step 4: Simplify right side
    21,021.20x = 516,592,339.44
  5. Step 5: Solve for x
    x = 516,592,339.44/21,021.20
  6. Step 6: Final answer
    x = 24,574.83

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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.