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Finding the Fourth Proportional to 23,413.94, 35,120.94 and 9,562.94

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Solution

The fourth proportional to 23,413.94, 35,120.94 and 9,562.94 is: 14,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.94 : 35,120.94 = 9,562.94 : x
  2. Step 2: Convert to fraction form
    23,413.94/35,120.94 = 9,562.94/x
  3. Step 3: Cross multiply
    23,413.94x = 35,120.94 × 9,562.94
  4. Step 4: Simplify right side
    23,413.94x = 335,859,441.96
  5. Step 5: Solve for x
    x = 335,859,441.96/23,413.94
  6. Step 6: Final answer
    x = 14,344.42

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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.