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Finding the Fourth Proportional to 16,403.83, 24,568.74 and 7,620.26

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Solution

The fourth proportional to 16,403.83, 24,568.74 and 7,620.26 is: 11,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.83 : 24,568.74 = 7,620.26 : x
  2. Step 2: Convert to fraction form
    16,403.83/24,568.74 = 7,620.26/x
  3. Step 3: Cross multiply
    16,403.83x = 24,568.74 × 7,620.26
  4. Step 4: Simplify right side
    16,403.83x = 187,220,063.83
  5. Step 5: Solve for x
    x = 187,220,063.83/16,403.83
  6. Step 6: Final answer
    x = 11,413.20

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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.