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Finding the Fourth Proportional to 15,768.82, 23,653.22 and 6,413.92

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Solution

The fourth proportional to 15,768.82, 23,653.22 and 6,413.92 is: 9,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.82 : 23,653.22 = 6,413.92 : x
  2. Step 2: Convert to fraction form
    15,768.82/23,653.22 = 6,413.92/x
  3. Step 3: Cross multiply
    15,768.82x = 23,653.22 × 6,413.92
  4. Step 4: Simplify right side
    15,768.82x = 151,709,860.82
  5. Step 5: Solve for x
    x = 151,709,860.82/15,768.82
  6. Step 6: Final answer
    x = 9,620.88

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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.