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Finding the Fourth Proportional to 20,676.25, 31,014.68 and 5,093.88

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Solution

The fourth proportional to 20,676.25, 31,014.68 and 5,093.88 is: 7,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.25 : 31,014.68 = 5,093.88 : x
  2. Step 2: Convert to fraction form
    20,676.25/31,014.68 = 5,093.88/x
  3. Step 3: Cross multiply
    20,676.25x = 31,014.68 × 5,093.88
  4. Step 4: Simplify right side
    20,676.25x = 157,985,058.16
  5. Step 5: Solve for x
    x = 157,985,058.16/20,676.25
  6. Step 6: Final answer
    x = 7,640.90

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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.