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Finding the Fourth Proportional to 20,991.30, 31,533.16 and 12,676.28

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Solution

The fourth proportional to 20,991.30, 31,533.16 and 12,676.28 is: 19,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.30 : 31,533.16 = 12,676.28 : x
  2. Step 2: Convert to fraction form
    20,991.30/31,533.16 = 12,676.28/x
  3. Step 3: Cross multiply
    20,991.30x = 31,533.16 × 12,676.28
  4. Step 4: Simplify right side
    20,991.30x = 399,723,165.44
  5. Step 5: Solve for x
    x = 399,723,165.44/20,991.30
  6. Step 6: Final answer
    x = 19,042.33

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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.