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Finding the Fourth Proportional to 21,290.20, 31,949.70 and 11,930.20

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Solution

The fourth proportional to 21,290.20, 31,949.70 and 11,930.20 is: 17,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,290.20 : 31,949.70 = 11,930.20 : x
  2. Step 2: Convert to fraction form
    21,290.20/31,949.70 = 11,930.20/x
  3. Step 3: Cross multiply
    21,290.20x = 31,949.70 × 11,930.20
  4. Step 4: Simplify right side
    21,290.20x = 381,166,310.94
  5. Step 5: Solve for x
    x = 381,166,310.94/21,290.20
  6. Step 6: Final answer
    x = 17,903.37

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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.