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Finding the Fourth Proportional to 20,951.46, 31,414.23 and 9,860.94

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Solution

The fourth proportional to 20,951.46, 31,414.23 and 9,860.94 is: 14,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951.46 : 31,414.23 = 9,860.94 : x
  2. Step 2: Convert to fraction form
    20,951.46/31,414.23 = 9,860.94/x
  3. Step 3: Cross multiply
    20,951.46x = 31,414.23 × 9,860.94
  4. Step 4: Simplify right side
    20,951.46x = 309,773,837.18
  5. Step 5: Solve for x
    x = 309,773,837.18/20,951.46
  6. Step 6: Final answer
    x = 14,785.31

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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.