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Finding the Fourth Proportional to 16,266.96, 24,408.63 and 6,413.31

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Solution

The fourth proportional to 16,266.96, 24,408.63 and 6,413.31 is: 9,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.96 : 24,408.63 = 6,413.31 : x
  2. Step 2: Convert to fraction form
    16,266.96/24,408.63 = 6,413.31/x
  3. Step 3: Cross multiply
    16,266.96x = 24,408.63 × 6,413.31
  4. Step 4: Simplify right side
    16,266.96x = 156,540,110.87
  5. Step 5: Solve for x
    x = 156,540,110.87/16,266.96
  6. Step 6: Final answer
    x = 9,623.19

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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.