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Finding the Fourth Proportional to 20,512.84, 30,824.85 and 11,159.77

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Solution

The fourth proportional to 20,512.84, 30,824.85 and 11,159.77 is: 16,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.84 : 30,824.85 = 11,159.77 : x
  2. Step 2: Convert to fraction form
    20,512.84/30,824.85 = 11,159.77/x
  3. Step 3: Cross multiply
    20,512.84x = 30,824.85 × 11,159.77
  4. Step 4: Simplify right side
    20,512.84x = 343,998,236.28
  5. Step 5: Solve for x
    x = 343,998,236.28/20,512.84
  6. Step 6: Final answer
    x = 16,769.90

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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.