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Finding the Fourth Proportional to 22,770.76, 33,929.77 and 20,286.49

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Solution

The fourth proportional to 22,770.76, 33,929.77 and 20,286.49 is: 30,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.76 : 33,929.77 = 20,286.49 : x
  2. Step 2: Convert to fraction form
    22,770.76/33,929.77 = 20,286.49/x
  3. Step 3: Cross multiply
    22,770.76x = 33,929.77 × 20,286.49
  4. Step 4: Simplify right side
    22,770.76x = 688,315,880.34
  5. Step 5: Solve for x
    x = 688,315,880.34/22,770.76
  6. Step 6: Final answer
    x = 30,228.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.