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Finding the Fourth Proportional to 18,614.54, 27,923.64 and 6,129.48

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Solution

The fourth proportional to 18,614.54, 27,923.64 and 6,129.48 is: 9,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614.54 : 27,923.64 = 6,129.48 : x
  2. Step 2: Convert to fraction form
    18,614.54/27,923.64 = 6,129.48/x
  3. Step 3: Cross multiply
    18,614.54x = 27,923.64 × 6,129.48
  4. Step 4: Simplify right side
    18,614.54x = 171,157,392.91
  5. Step 5: Solve for x
    x = 171,157,392.91/18,614.54
  6. Step 6: Final answer
    x = 9,194.82

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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.