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Finding the Fourth Proportional to 25,732, 35,485.80 and 16,786.36

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Solution

The fourth proportional to 25,732, 35,485.80 and 16,786.36 is: 23,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,732 : 35,485.80 = 16,786.36 : x
  2. Step 2: Convert to fraction form
    25,732/35,485.80 = 16,786.36/x
  3. Step 3: Cross multiply
    25,732x = 35,485.80 × 16,786.36
  4. Step 4: Simplify right side
    25,732x = 595,677,413.69
  5. Step 5: Solve for x
    x = 595,677,413.69/25,732
  6. Step 6: Final answer
    x = 23,149.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.