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Finding the Fourth Proportional to 16,413.50, 22,643.32 and 9,694.54

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Solution

The fourth proportional to 16,413.50, 22,643.32 and 9,694.54 is: 13,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.50 : 22,643.32 = 9,694.54 : x
  2. Step 2: Convert to fraction form
    16,413.50/22,643.32 = 9,694.54/x
  3. Step 3: Cross multiply
    16,413.50x = 22,643.32 × 9,694.54
  4. Step 4: Simplify right side
    16,413.50x = 219,516,571.47
  5. Step 5: Solve for x
    x = 219,516,571.47/16,413.50
  6. Step 6: Final answer
    x = 13,374.15

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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.