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Finding the Fourth Proportional to 18,546.08, 27,823.36 and 6,234.08

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Solution

The fourth proportional to 18,546.08, 27,823.36 and 6,234.08 is: 9,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.08 : 27,823.36 = 6,234.08 : x
  2. Step 2: Convert to fraction form
    18,546.08/27,823.36 = 6,234.08/x
  3. Step 3: Cross multiply
    18,546.08x = 27,823.36 × 6,234.08
  4. Step 4: Simplify right side
    18,546.08x = 173,453,052.11
  5. Step 5: Solve for x
    x = 173,453,052.11/18,546.08
  6. Step 6: Final answer
    x = 9,352.55

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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.