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Finding the Fourth Proportional to 16,511.74, 24,768.43 and 5,413.94

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Solution

The fourth proportional to 16,511.74, 24,768.43 and 5,413.94 is: 8,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.74 : 24,768.43 = 5,413.94 : x
  2. Step 2: Convert to fraction form
    16,511.74/24,768.43 = 5,413.94/x
  3. Step 3: Cross multiply
    16,511.74x = 24,768.43 × 5,413.94
  4. Step 4: Simplify right side
    16,511.74x = 134,094,793.91
  5. Step 5: Solve for x
    x = 134,094,793.91/16,511.74
  6. Step 6: Final answer
    x = 8,121.18

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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.