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Finding the Fourth Proportional to 16,272.98, 24,409.48 and 6,413.30

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Solution

The fourth proportional to 16,272.98, 24,409.48 and 6,413.30 is: 9,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,272.98 : 24,409.48 = 6,413.30 : x
  2. Step 2: Convert to fraction form
    16,272.98/24,409.48 = 6,413.30/x
  3. Step 3: Cross multiply
    16,272.98x = 24,409.48 × 6,413.30
  4. Step 4: Simplify right side
    16,272.98x = 156,545,318.08
  5. Step 5: Solve for x
    x = 156,545,318.08/16,272.98
  6. Step 6: Final answer
    x = 9,619.95

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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.