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Finding the Fourth Proportional to 21,107.44, 31,649.46 and 8,636.21

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Solution

The fourth proportional to 21,107.44, 31,649.46 and 8,636.21 is: 12,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.44 : 31,649.46 = 8,636.21 : x
  2. Step 2: Convert to fraction form
    21,107.44/31,649.46 = 8,636.21/x
  3. Step 3: Cross multiply
    21,107.44x = 31,649.46 × 8,636.21
  4. Step 4: Simplify right side
    21,107.44x = 273,331,382.95
  5. Step 5: Solve for x
    x = 273,331,382.95/21,107.44
  6. Step 6: Final answer
    x = 12,949.53

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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.