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Finding the Fourth Proportional to 20,539.68, 30,811.49 and 5,748.57

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Solution

The fourth proportional to 20,539.68, 30,811.49 and 5,748.57 is: 8,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.68 : 30,811.49 = 5,748.57 : x
  2. Step 2: Convert to fraction form
    20,539.68/30,811.49 = 5,748.57/x
  3. Step 3: Cross multiply
    20,539.68x = 30,811.49 × 5,748.57
  4. Step 4: Simplify right side
    20,539.68x = 177,121,999.88
  5. Step 5: Solve for x
    x = 177,121,999.88/20,539.68
  6. Step 6: Final answer
    x = 8,623.41

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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.