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Finding the Fourth Proportional to 16,413.30, 24,624 and 4,727.43

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Solution

The fourth proportional to 16,413.30, 24,624 and 4,727.43 is: 7,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.30 : 24,624 = 4,727.43 : x
  2. Step 2: Convert to fraction form
    16,413.30/24,624 = 4,727.43/x
  3. Step 3: Cross multiply
    16,413.30x = 24,624 × 4,727.43
  4. Step 4: Simplify right side
    16,413.30x = 116,408,236.32
  5. Step 5: Solve for x
    x = 116,408,236.32/16,413.30
  6. Step 6: Final answer
    x = 7,092.31

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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.