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Finding the Fourth Proportional to 21,194.82, 29,245.05 and 13,738.50

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Solution

The fourth proportional to 21,194.82, 29,245.05 and 13,738.50 is: 18,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.82 : 29,245.05 = 13,738.50 : x
  2. Step 2: Convert to fraction form
    21,194.82/29,245.05 = 13,738.50/x
  3. Step 3: Cross multiply
    21,194.82x = 29,245.05 × 13,738.50
  4. Step 4: Simplify right side
    21,194.82x = 401,783,119.43
  5. Step 5: Solve for x
    x = 401,783,119.43/21,194.82
  6. Step 6: Final answer
    x = 18,956.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.