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Finding the Fourth Proportional to 21,171.15, 31,758.21 and 6,380.19

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Solution

The fourth proportional to 21,171.15, 31,758.21 and 6,380.19 is: 9,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171.15 : 31,758.21 = 6,380.19 : x
  2. Step 2: Convert to fraction form
    21,171.15/31,758.21 = 6,380.19/x
  3. Step 3: Cross multiply
    21,171.15x = 31,758.21 × 6,380.19
  4. Step 4: Simplify right side
    21,171.15x = 202,623,413.86
  5. Step 5: Solve for x
    x = 202,623,413.86/21,171.15
  6. Step 6: Final answer
    x = 9,570.73

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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.