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Finding the Fourth Proportional to 18,790.94, 28,189 and 6,314.53

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Solution

The fourth proportional to 18,790.94, 28,189 and 6,314.53 is: 9,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,790.94 : 28,189 = 6,314.53 : x
  2. Step 2: Convert to fraction form
    18,790.94/28,189 = 6,314.53/x
  3. Step 3: Cross multiply
    18,790.94x = 28,189 × 6,314.53
  4. Step 4: Simplify right side
    18,790.94x = 178,000,286.17
  5. Step 5: Solve for x
    x = 178,000,286.17/18,790.94
  6. Step 6: Final answer
    x = 9,472.67

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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.