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Finding the Fourth Proportional to 13,967.70, 20,951.50 and 5,647.62

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Solution

The fourth proportional to 13,967.70, 20,951.50 and 5,647.62 is: 8,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.70 : 20,951.50 = 5,647.62 : x
  2. Step 2: Convert to fraction form
    13,967.70/20,951.50 = 5,647.62/x
  3. Step 3: Cross multiply
    13,967.70x = 20,951.50 × 5,647.62
  4. Step 4: Simplify right side
    13,967.70x = 118,326,067.62
  5. Step 5: Solve for x
    x = 118,326,067.62/13,967.70
  6. Step 6: Final answer
    x = 8,471.41

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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.