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Finding the Fourth Proportional to 13,738.08, 18,958.91 and 7,770.63

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Solution

The fourth proportional to 13,738.08, 18,958.91 and 7,770.63 is: 10,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.08 : 18,958.91 = 7,770.63 : x
  2. Step 2: Convert to fraction form
    13,738.08/18,958.91 = 7,770.63/x
  3. Step 3: Cross multiply
    13,738.08x = 18,958.91 × 7,770.63
  4. Step 4: Simplify right side
    13,738.08x = 147,322,674.81
  5. Step 5: Solve for x
    x = 147,322,674.81/13,738.08
  6. Step 6: Final answer
    x = 10,723.67

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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.