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Finding the Fourth Proportional to 38,600.28, 57,908.10 and 16,413.48

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Solution

The fourth proportional to 38,600.28, 57,908.10 and 16,413.48 is: 24,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,600.28 : 57,908.10 = 16,413.48 : x
  2. Step 2: Convert to fraction form
    38,600.28/57,908.10 = 16,413.48/x
  3. Step 3: Cross multiply
    38,600.28x = 57,908.10 × 16,413.48
  4. Step 4: Simplify right side
    38,600.28x = 950,473,441.19
  5. Step 5: Solve for x
    x = 950,473,441.19/38,600.28
  6. Step 6: Final answer
    x = 24,623.49

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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.