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Finding the Fourth Proportional to 21,267, 31,912.26 and 8,784.12

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Solution

The fourth proportional to 21,267, 31,912.26 and 8,784.12 is: 13,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267 : 31,912.26 = 8,784.12 : x
  2. Step 2: Convert to fraction form
    21,267/31,912.26 = 8,784.12/x
  3. Step 3: Cross multiply
    21,267x = 31,912.26 × 8,784.12
  4. Step 4: Simplify right side
    21,267x = 280,321,121.31
  5. Step 5: Solve for x
    x = 280,321,121.31/21,267
  6. Step 6: Final answer
    x = 13,181.04

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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.