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Finding the Fourth Proportional to 38,605.40, 57,908.10 and 16,413.20

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Solution

The fourth proportional to 38,605.40, 57,908.10 and 16,413.20 is: 24,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,605.40 : 57,908.10 = 16,413.20 : x
  2. Step 2: Convert to fraction form
    38,605.40/57,908.10 = 16,413.20/x
  3. Step 3: Cross multiply
    38,605.40x = 57,908.10 × 16,413.20
  4. Step 4: Simplify right side
    38,605.40x = 950,457,226.92
  5. Step 5: Solve for x
    x = 950,457,226.92/38,605.40
  6. Step 6: Final answer
    x = 24,619.80

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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.