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Finding the Fourth Proportional to 12,438.27, 17,166.06 and 7,134.75

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Solution

The fourth proportional to 12,438.27, 17,166.06 and 7,134.75 is: 9,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.27 : 17,166.06 = 7,134.75 : x
  2. Step 2: Convert to fraction form
    12,438.27/17,166.06 = 7,134.75/x
  3. Step 3: Cross multiply
    12,438.27x = 17,166.06 × 7,134.75
  4. Step 4: Simplify right side
    12,438.27x = 122,475,546.59
  5. Step 5: Solve for x
    x = 122,475,546.59/12,438.27
  6. Step 6: Final answer
    x = 9,846.67

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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.