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Finding the Fourth Proportional to 16,020.24, 24,012 and 6,154.44

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Solution

The fourth proportional to 16,020.24, 24,012 and 6,154.44 is: 9,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,020.24 : 24,012 = 6,154.44 : x
  2. Step 2: Convert to fraction form
    16,020.24/24,012 = 6,154.44/x
  3. Step 3: Cross multiply
    16,020.24x = 24,012 × 6,154.44
  4. Step 4: Simplify right side
    16,020.24x = 147,780,413.28
  5. Step 5: Solve for x
    x = 147,780,413.28/16,020.24
  6. Step 6: Final answer
    x = 9,224.61

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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.