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Finding the Fourth Proportional to 18,493.34, 27,734.54 and 6,803.82

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Solution

The fourth proportional to 18,493.34, 27,734.54 and 6,803.82 is: 10,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.34 : 27,734.54 = 6,803.82 : x
  2. Step 2: Convert to fraction form
    18,493.34/27,734.54 = 6,803.82/x
  3. Step 3: Cross multiply
    18,493.34x = 27,734.54 × 6,803.82
  4. Step 4: Simplify right side
    18,493.34x = 188,700,783.92
  5. Step 5: Solve for x
    x = 188,700,783.92/18,493.34
  6. Step 6: Final answer
    x = 10,203.72

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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.