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Finding the Fourth Proportional to 12,220.38, 18,328.68 and 6,676.47

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Solution

The fourth proportional to 12,220.38, 18,328.68 and 6,676.47 is: 10,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.38 : 18,328.68 = 6,676.47 : x
  2. Step 2: Convert to fraction form
    12,220.38/18,328.68 = 6,676.47/x
  3. Step 3: Cross multiply
    12,220.38x = 18,328.68 × 6,676.47
  4. Step 4: Simplify right side
    12,220.38x = 122,370,882.16
  5. Step 5: Solve for x
    x = 122,370,882.16/12,220.38
  6. Step 6: Final answer
    x = 10,013.67

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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.