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Finding the Fourth Proportional to 25,608, 38,413.44 and 7,141.44

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Solution

The fourth proportional to 25,608, 38,413.44 and 7,141.44 is: 10,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,608 : 38,413.44 = 7,141.44 : x
  2. Step 2: Convert to fraction form
    25,608/38,413.44 = 7,141.44/x
  3. Step 3: Cross multiply
    25,608x = 38,413.44 × 7,141.44
  4. Step 4: Simplify right side
    25,608x = 274,327,276.95
  5. Step 5: Solve for x
    x = 274,327,276.95/25,608
  6. Step 6: Final answer
    x = 10,712.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.