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Finding the Fourth Proportional to 16,413.50, 22,651.18 and 9,340.38

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Solution

The fourth proportional to 16,413.50, 22,651.18 and 9,340.38 is: 12,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.50 : 22,651.18 = 9,340.38 : x
  2. Step 2: Convert to fraction form
    16,413.50/22,651.18 = 9,340.38/x
  3. Step 3: Cross multiply
    16,413.50x = 22,651.18 × 9,340.38
  4. Step 4: Simplify right side
    16,413.50x = 211,570,605.30
  5. Step 5: Solve for x
    x = 211,570,605.30/16,413.50
  6. Step 6: Final answer
    x = 12,890.03

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Why These Related Problems?

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