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Finding the Fourth Proportional to 16,413.94, 22,651.20 and 9,701.98

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Solution

The fourth proportional to 16,413.94, 22,651.20 and 9,701.98 is: 13,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.94 : 22,651.20 = 9,701.98 : x
  2. Step 2: Convert to fraction form
    16,413.94/22,651.20 = 9,701.98/x
  3. Step 3: Cross multiply
    16,413.94x = 22,651.20 × 9,701.98
  4. Step 4: Simplify right side
    16,413.94x = 219,761,489.38
  5. Step 5: Solve for x
    x = 219,761,489.38/16,413.94
  6. Step 6: Final answer
    x = 13,388.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.