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Finding the Fourth Proportional to 16,215, 24,305.22 and 8,413.08

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Solution

The fourth proportional to 16,215, 24,305.22 and 8,413.08 is: 12,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215 : 24,305.22 = 8,413.08 : x
  2. Step 2: Convert to fraction form
    16,215/24,305.22 = 8,413.08/x
  3. Step 3: Cross multiply
    16,215x = 24,305.22 × 8,413.08
  4. Step 4: Simplify right side
    16,215x = 204,481,760.28
  5. Step 5: Solve for x
    x = 204,481,760.28/16,215
  6. Step 6: Final answer
    x = 12,610.65

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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.