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Finding the Fourth Proportional to 20,819.41, 31,241.41 and 7,681

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Solution

The fourth proportional to 20,819.41, 31,241.41 and 7,681 is: 11,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819.41 : 31,241.41 = 7,681 : x
  2. Step 2: Convert to fraction form
    20,819.41/31,241.41 = 7,681/x
  3. Step 3: Cross multiply
    20,819.41x = 31,241.41 × 7,681
  4. Step 4: Simplify right side
    20,819.41x = 239,965,270.21
  5. Step 5: Solve for x
    x = 239,965,270.21/20,819.41
  6. Step 6: Final answer
    x = 11,526.04

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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.