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Finding the Fourth Proportional to 16,241.65, 22,413.83 and 9,168.23

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Solution

The fourth proportional to 16,241.65, 22,413.83 and 9,168.23 is: 12,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.65 : 22,413.83 = 9,168.23 : x
  2. Step 2: Convert to fraction form
    16,241.65/22,413.83 = 9,168.23/x
  3. Step 3: Cross multiply
    16,241.65x = 22,413.83 × 9,168.23
  4. Step 4: Simplify right side
    16,241.65x = 205,494,990.71
  5. Step 5: Solve for x
    x = 205,494,990.71/16,241.65
  6. Step 6: Final answer
    x = 12,652.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.