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Finding the Fourth Proportional to 21,116.87, 31,665.05 and 7,970.27

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Solution

The fourth proportional to 21,116.87, 31,665.05 and 7,970.27 is: 11,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.87 : 31,665.05 = 7,970.27 : x
  2. Step 2: Convert to fraction form
    21,116.87/31,665.05 = 7,970.27/x
  3. Step 3: Cross multiply
    21,116.87x = 31,665.05 × 7,970.27
  4. Step 4: Simplify right side
    21,116.87x = 252,378,958.21
  5. Step 5: Solve for x
    x = 252,378,958.21/21,116.87
  6. Step 6: Final answer
    x = 11,951.54

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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.