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Finding the Fourth Proportional to 16,942.61, 25,413.92 and 8,194.61

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Solution

The fourth proportional to 16,942.61, 25,413.92 and 8,194.61 is: 12,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,942.61 : 25,413.92 = 8,194.61 : x
  2. Step 2: Convert to fraction form
    16,942.61/25,413.92 = 8,194.61/x
  3. Step 3: Cross multiply
    16,942.61x = 25,413.92 × 8,194.61
  4. Step 4: Simplify right side
    16,942.61x = 208,257,216.26
  5. Step 5: Solve for x
    x = 208,257,216.26/16,942.61
  6. Step 6: Final answer
    x = 12,291.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.