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Finding the Fourth Proportional to 23,603.20, 35,413.00 and 10,464.80

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Solution

The fourth proportional to 23,603.20, 35,413.00 and 10,464.80 is: 15,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,603.20 : 35,413.00 = 10,464.80 : x
  2. Step 2: Convert to fraction form
    23,603.20/35,413.00 = 10,464.80/x
  3. Step 3: Cross multiply
    23,603.20x = 35,413.00 × 10,464.80
  4. Step 4: Simplify right side
    23,603.20x = 370,589,759.17
  5. Step 5: Solve for x
    x = 370,589,759.17/23,603.20
  6. Step 6: Final answer
    x = 15,700.83

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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.