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Finding the Fourth Proportional to 16,413.88, 22,651.67 and 9,340.76

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Solution

The fourth proportional to 16,413.88, 22,651.67 and 9,340.76 is: 12,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.88 : 22,651.67 = 9,340.76 : x
  2. Step 2: Convert to fraction form
    16,413.88/22,651.67 = 9,340.76/x
  3. Step 3: Cross multiply
    16,413.88x = 22,651.67 × 9,340.76
  4. Step 4: Simplify right side
    16,413.88x = 211,583,813.07
  5. Step 5: Solve for x
    x = 211,583,813.07/16,413.88
  6. Step 6: Final answer
    x = 12,890.54

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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.