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Finding the Fourth Proportional to 23,057.44, 31,806.84 and 15,413.92

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Solution

The fourth proportional to 23,057.44, 31,806.84 and 15,413.92 is: 21,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.44 : 31,806.84 = 15,413.92 : x
  2. Step 2: Convert to fraction form
    23,057.44/31,806.84 = 15,413.92/x
  3. Step 3: Cross multiply
    23,057.44x = 31,806.84 × 15,413.92
  4. Step 4: Simplify right side
    23,057.44x = 490,268,087.21
  5. Step 5: Solve for x
    x = 490,268,087.21/23,057.44
  6. Step 6: Final answer
    x = 21,262.90

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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.