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Finding the Fourth Proportional to 16,286.60, 24,413.22 and 6,421.88

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Solution

The fourth proportional to 16,286.60, 24,413.22 and 6,421.88 is: 9,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.60 : 24,413.22 = 6,421.88 : x
  2. Step 2: Convert to fraction form
    16,286.60/24,413.22 = 6,421.88/x
  3. Step 3: Cross multiply
    16,286.60x = 24,413.22 × 6,421.88
  4. Step 4: Simplify right side
    16,286.60x = 156,778,769.25
  5. Step 5: Solve for x
    x = 156,778,769.25/16,286.60
  6. Step 6: Final answer
    x = 9,626.24

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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.