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Finding the Fourth Proportional to 17,260, 25,890.32 and 5,413.51

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Solution

The fourth proportional to 17,260, 25,890.32 and 5,413.51 is: 8,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,260 : 25,890.32 = 5,413.51 : x
  2. Step 2: Convert to fraction form
    17,260/25,890.32 = 5,413.51/x
  3. Step 3: Cross multiply
    17,260x = 25,890.32 × 5,413.51
  4. Step 4: Simplify right side
    17,260x = 140,157,414.43
  5. Step 5: Solve for x
    x = 140,157,414.43/17,260
  6. Step 6: Final answer
    x = 8,120.36

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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.