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Finding the Fourth Proportional to 18,415.50, 25,413.42 and 10,032

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Solution

The fourth proportional to 18,415.50, 25,413.42 and 10,032 is: 13,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415.50 : 25,413.42 = 10,032 : x
  2. Step 2: Convert to fraction form
    18,415.50/25,413.42 = 10,032/x
  3. Step 3: Cross multiply
    18,415.50x = 25,413.42 × 10,032
  4. Step 4: Simplify right side
    18,415.50x = 254,947,429.44
  5. Step 5: Solve for x
    x = 254,947,429.44/18,415.50
  6. Step 6: Final answer
    x = 13,844.18

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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.