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Finding the Fourth Proportional to 18,514.56, 27,771.84 and 8,126.40

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Solution

The fourth proportional to 18,514.56, 27,771.84 and 8,126.40 is: 12,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514.56 : 27,771.84 = 8,126.40 : x
  2. Step 2: Convert to fraction form
    18,514.56/27,771.84 = 8,126.40/x
  3. Step 3: Cross multiply
    18,514.56x = 27,771.84 × 8,126.40
  4. Step 4: Simplify right side
    18,514.56x = 225,685,080.58
  5. Step 5: Solve for x
    x = 225,685,080.58/18,514.56
  6. Step 6: Final answer
    x = 12,189.60

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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.