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Finding the Fourth Proportional to 16,413.26, 22,649.92 and 9,145.31

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Solution

The fourth proportional to 16,413.26, 22,649.92 and 9,145.31 is: 12,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.26 : 22,649.92 = 9,145.31 : x
  2. Step 2: Convert to fraction form
    16,413.26/22,649.92 = 9,145.31/x
  3. Step 3: Cross multiply
    16,413.26x = 22,649.92 × 9,145.31
  4. Step 4: Simplify right side
    16,413.26x = 207,140,390.90
  5. Step 5: Solve for x
    x = 207,140,390.90/16,413.26
  6. Step 6: Final answer
    x = 12,620.30

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