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Finding the Fourth Proportional to 20,951.36, 31,427.04 and 6,160.41

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Solution

The fourth proportional to 20,951.36, 31,427.04 and 6,160.41 is: 9,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951.36 : 31,427.04 = 6,160.41 : x
  2. Step 2: Convert to fraction form
    20,951.36/31,427.04 = 6,160.41/x
  3. Step 3: Cross multiply
    20,951.36x = 31,427.04 × 6,160.41
  4. Step 4: Simplify right side
    20,951.36x = 193,603,451.49
  5. Step 5: Solve for x
    x = 193,603,451.49/20,951.36
  6. Step 6: Final answer
    x = 9,240.62

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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.