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Finding the Fourth Proportional to 20,261.43, 30,396.09 and 7,780.54

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Solution

The fourth proportional to 20,261.43, 30,396.09 and 7,780.54 is: 11,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.43 : 30,396.09 = 7,780.54 : x
  2. Step 2: Convert to fraction form
    20,261.43/30,396.09 = 7,780.54/x
  3. Step 3: Cross multiply
    20,261.43x = 30,396.09 × 7,780.54
  4. Step 4: Simplify right side
    20,261.43x = 236,497,984.36
  5. Step 5: Solve for x
    x = 236,497,984.36/20,261.43
  6. Step 6: Final answer
    x = 11,672.32

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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.