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Finding the Fourth Proportional to 20,096.64, 30,133.44 and 7,770.24

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Solution

The fourth proportional to 20,096.64, 30,133.44 and 7,770.24 is: 11,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.64 : 30,133.44 = 7,770.24 : x
  2. Step 2: Convert to fraction form
    20,096.64/30,133.44 = 7,770.24/x
  3. Step 3: Cross multiply
    20,096.64x = 30,133.44 × 7,770.24
  4. Step 4: Simplify right side
    20,096.64x = 234,144,060.83
  5. Step 5: Solve for x
    x = 234,144,060.83/20,096.64
  6. Step 6: Final answer
    x = 11,650.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.