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Finding the Fourth Proportional to 27,771.40, 41,660.70 and 13,738.60

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Solution

The fourth proportional to 27,771.40, 41,660.70 and 13,738.60 is: 20,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.40 : 41,660.70 = 13,738.60 : x
  2. Step 2: Convert to fraction form
    27,771.40/41,660.70 = 13,738.60/x
  3. Step 3: Cross multiply
    27,771.40x = 41,660.70 × 13,738.60
  4. Step 4: Simplify right side
    27,771.40x = 572,359,693.02
  5. Step 5: Solve for x
    x = 572,359,693.02/27,771.40
  6. Step 6: Final answer
    x = 20,609.68

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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.