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Finding the Fourth Proportional to 20,256.44, 30,383.46 and 7,782.44

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Solution

The fourth proportional to 20,256.44, 30,383.46 and 7,782.44 is: 11,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,256.44 : 30,383.46 = 7,782.44 : x
  2. Step 2: Convert to fraction form
    20,256.44/30,383.46 = 7,782.44/x
  3. Step 3: Cross multiply
    20,256.44x = 30,383.46 × 7,782.44
  4. Step 4: Simplify right side
    20,256.44x = 236,457,454.44
  5. Step 5: Solve for x
    x = 236,457,454.44/20,256.44
  6. Step 6: Final answer
    x = 11,673.20

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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.