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Finding the Fourth Proportional to 18,234.40, 27,356.40 and 6,546.40

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Solution

The fourth proportional to 18,234.40, 27,356.40 and 6,546.40 is: 9,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.40 : 27,356.40 = 6,546.40 : x
  2. Step 2: Convert to fraction form
    18,234.40/27,356.40 = 6,546.40/x
  3. Step 3: Cross multiply
    18,234.40x = 27,356.40 × 6,546.40
  4. Step 4: Simplify right side
    18,234.40x = 179,085,936.96
  5. Step 5: Solve for x
    x = 179,085,936.96/18,234.40
  6. Step 6: Final answer
    x = 9,821.32

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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.