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Finding the Fourth Proportional to 18,493.20, 27,737.07 and 6,803.69

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Solution

The fourth proportional to 18,493.20, 27,737.07 and 6,803.69 is: 10,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.20 : 27,737.07 = 6,803.69 : x
  2. Step 2: Convert to fraction form
    18,493.20/27,737.07 = 6,803.69/x
  3. Step 3: Cross multiply
    18,493.20x = 27,737.07 × 6,803.69
  4. Step 4: Simplify right side
    18,493.20x = 188,714,425.79
  5. Step 5: Solve for x
    x = 188,714,425.79/18,493.20
  6. Step 6: Final answer
    x = 10,204.53

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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.