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Finding the Fourth Proportional to 20,951.75, 31,427.54 and 8,471.62

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Solution

The fourth proportional to 20,951.75, 31,427.54 and 8,471.62 is: 12,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951.75 : 31,427.54 = 8,471.62 : x
  2. Step 2: Convert to fraction form
    20,951.75/31,427.54 = 8,471.62/x
  3. Step 3: Cross multiply
    20,951.75x = 31,427.54 × 8,471.62
  4. Step 4: Simplify right side
    20,951.75x = 266,242,055.49
  5. Step 5: Solve for x
    x = 266,242,055.49/20,951.75
  6. Step 6: Final answer
    x = 12,707.39

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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.