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Finding the Fourth Proportional to 20,539.82, 30,813.54 and 6,503.39

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Solution

The fourth proportional to 20,539.82, 30,813.54 and 6,503.39 is: 9,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.82 : 30,813.54 = 6,503.39 : x
  2. Step 2: Convert to fraction form
    20,539.82/30,813.54 = 6,503.39/x
  3. Step 3: Cross multiply
    20,539.82x = 30,813.54 × 6,503.39
  4. Step 4: Simplify right side
    20,539.82x = 200,392,467.90
  5. Step 5: Solve for x
    x = 200,392,467.90/20,539.82
  6. Step 6: Final answer
    x = 9,756.29

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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.