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Finding the Fourth Proportional to 16,413.94, 24,603.22 and 7,962.55

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Solution

The fourth proportional to 16,413.94, 24,603.22 and 7,962.55 is: 11,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.94 : 24,603.22 = 7,962.55 : x
  2. Step 2: Convert to fraction form
    16,413.94/24,603.22 = 7,962.55/x
  3. Step 3: Cross multiply
    16,413.94x = 24,603.22 × 7,962.55
  4. Step 4: Simplify right side
    16,413.94x = 195,904,369.41
  5. Step 5: Solve for x
    x = 195,904,369.41/16,413.94
  6. Step 6: Final answer
    x = 11,935.24

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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.