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Finding the Fourth Proportional to 20,745.46, 31,098.51 and 8,273.17

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Solution

The fourth proportional to 20,745.46, 31,098.51 and 8,273.17 is: 12,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,745.46 : 31,098.51 = 8,273.17 : x
  2. Step 2: Convert to fraction form
    20,745.46/31,098.51 = 8,273.17/x
  3. Step 3: Cross multiply
    20,745.46x = 31,098.51 × 8,273.17
  4. Step 4: Simplify right side
    20,745.46x = 257,283,259.98
  5. Step 5: Solve for x
    x = 257,283,259.98/20,745.46
  6. Step 6: Final answer
    x = 12,401.91

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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.