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Finding the Fourth Proportional to 16,269.96, 24,413.10 and 6,416.28

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Solution

The fourth proportional to 16,269.96, 24,413.10 and 6,416.28 is: 9,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.96 : 24,413.10 = 6,416.28 : x
  2. Step 2: Convert to fraction form
    16,269.96/24,413.10 = 6,416.28/x
  3. Step 3: Cross multiply
    16,269.96x = 24,413.10 × 6,416.28
  4. Step 4: Simplify right side
    16,269.96x = 156,641,285.27
  5. Step 5: Solve for x
    x = 156,641,285.27/16,269.96
  6. Step 6: Final answer
    x = 9,627.64

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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.