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Finding the Fourth Proportional to 18,549.82, 27,824.34 and 4,509.92

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Solution

The fourth proportional to 18,549.82, 27,824.34 and 4,509.92 is: 6,764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.82 : 27,824.34 = 4,509.92 : x
  2. Step 2: Convert to fraction form
    18,549.82/27,824.34 = 4,509.92/x
  3. Step 3: Cross multiply
    18,549.82x = 27,824.34 × 4,509.92
  4. Step 4: Simplify right side
    18,549.82x = 125,485,633.93
  5. Step 5: Solve for x
    x = 125,485,633.93/18,549.82
  6. Step 6: Final answer
    x = 6,764.79

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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.