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Finding the Fourth Proportional to 18,546.72, 27,782.98 and 11,147.16

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Solution

The fourth proportional to 18,546.72, 27,782.98 and 11,147.16 is: 16,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.72 : 27,782.98 = 11,147.16 : x
  2. Step 2: Convert to fraction form
    18,546.72/27,782.98 = 11,147.16/x
  3. Step 3: Cross multiply
    18,546.72x = 27,782.98 × 11,147.16
  4. Step 4: Simplify right side
    18,546.72x = 309,701,323.34
  5. Step 5: Solve for x
    x = 309,701,323.34/18,546.72
  6. Step 6: Final answer
    x = 16,698.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.