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Finding the Fourth Proportional to 20,950.44, 31,383.22 and 9,689.78

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Solution

The fourth proportional to 20,950.44, 31,383.22 and 9,689.78 is: 14,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,950.44 : 31,383.22 = 9,689.78 : x
  2. Step 2: Convert to fraction form
    20,950.44/31,383.22 = 9,689.78/x
  3. Step 3: Cross multiply
    20,950.44x = 31,383.22 × 9,689.78
  4. Step 4: Simplify right side
    20,950.44x = 304,096,497.49
  5. Step 5: Solve for x
    x = 304,096,497.49/20,950.44
  6. Step 6: Final answer
    x = 14,515.04

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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.