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Finding the Fourth Proportional to 16,267.46, 24,409.38 and 6,413.81

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Solution

The fourth proportional to 16,267.46, 24,409.38 and 6,413.81 is: 9,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.46 : 24,409.38 = 6,413.81 : x
  2. Step 2: Convert to fraction form
    16,267.46/24,409.38 = 6,413.81/x
  3. Step 3: Cross multiply
    16,267.46x = 24,409.38 × 6,413.81
  4. Step 4: Simplify right side
    16,267.46x = 156,557,125.54
  5. Step 5: Solve for x
    x = 156,557,125.54/16,267.46
  6. Step 6: Final answer
    x = 9,623.94

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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.