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Finding the Fourth Proportional to 20,954.46, 31,418.72 and 9,863.94

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Solution

The fourth proportional to 20,954.46, 31,418.72 and 9,863.94 is: 14,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.46 : 31,418.72 = 9,863.94 : x
  2. Step 2: Convert to fraction form
    20,954.46/31,418.72 = 9,863.94/x
  3. Step 3: Cross multiply
    20,954.46x = 31,418.72 × 9,863.94
  4. Step 4: Simplify right side
    20,954.46x = 309,912,368.96
  5. Step 5: Solve for x
    x = 309,912,368.96/20,954.46
  6. Step 6: Final answer
    x = 14,789.80

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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.