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Finding the Fourth Proportional to 20,823.68, 28,734.94 and 11,748.54

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Solution

The fourth proportional to 20,823.68, 28,734.94 and 11,748.54 is: 16,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.68 : 28,734.94 = 11,748.54 : x
  2. Step 2: Convert to fraction form
    20,823.68/28,734.94 = 11,748.54/x
  3. Step 3: Cross multiply
    20,823.68x = 28,734.94 × 11,748.54
  4. Step 4: Simplify right side
    20,823.68x = 337,593,591.99
  5. Step 5: Solve for x
    x = 337,593,591.99/20,823.68
  6. Step 6: Final answer
    x = 16,212.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.