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Finding the Fourth Proportional to 18,502.92, 27,765.24 and 6,824.28

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Solution

The fourth proportional to 18,502.92, 27,765.24 and 6,824.28 is: 10,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502.92 : 27,765.24 = 6,824.28 : x
  2. Step 2: Convert to fraction form
    18,502.92/27,765.24 = 6,824.28/x
  3. Step 3: Cross multiply
    18,502.92x = 27,765.24 × 6,824.28
  4. Step 4: Simplify right side
    18,502.92x = 189,477,772.03
  5. Step 5: Solve for x
    x = 189,477,772.03/18,502.92
  6. Step 6: Final answer
    x = 10,240.43

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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.