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Finding the Fourth Proportional to 18,384, 27,576 and 4,533

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Solution

The fourth proportional to 18,384, 27,576 and 4,533 is: 6,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384 : 27,576 = 4,533 : x
  2. Step 2: Convert to fraction form
    18,384/27,576 = 4,533/x
  3. Step 3: Cross multiply
    18,384x = 27,576 × 4,533
  4. Step 4: Simplify right side
    18,384x = 125,002,008
  5. Step 5: Solve for x
    x = 125,002,008/18,384
  6. Step 6: Final answer
    x = 6,799.50

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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.