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Finding the Fourth Proportional to 18,384.83, 27,571.76 and 6,695.31

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Solution

The fourth proportional to 18,384.83, 27,571.76 and 6,695.31 is: 10,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.83 : 27,571.76 = 6,695.31 : x
  2. Step 2: Convert to fraction form
    18,384.83/27,571.76 = 6,695.31/x
  3. Step 3: Cross multiply
    18,384.83x = 27,571.76 × 6,695.31
  4. Step 4: Simplify right side
    18,384.83x = 184,601,480.45
  5. Step 5: Solve for x
    x = 184,601,480.45/18,384.83
  6. Step 6: Final answer
    x = 10,040.97

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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.