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Finding the Fourth Proportional to 27,419.85, 41,142.87 and 12,627.09

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Solution

The fourth proportional to 27,419.85, 41,142.87 and 12,627.09 is: 18,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.85 : 41,142.87 = 12,627.09 : x
  2. Step 2: Convert to fraction form
    27,419.85/41,142.87 = 12,627.09/x
  3. Step 3: Cross multiply
    27,419.85x = 41,142.87 × 12,627.09
  4. Step 4: Simplify right side
    27,419.85x = 519,514,722.35
  5. Step 5: Solve for x
    x = 519,514,722.35/27,419.85
  6. Step 6: Final answer
    x = 18,946.67

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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.