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Finding the Fourth Proportional to 12,230.38, 18,338.19 and 6,676.01

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Solution

The fourth proportional to 12,230.38, 18,338.19 and 6,676.01 is: 10,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.38 : 18,338.19 = 6,676.01 : x
  2. Step 2: Convert to fraction form
    12,230.38/18,338.19 = 6,676.01/x
  3. Step 3: Cross multiply
    12,230.38x = 18,338.19 × 6,676.01
  4. Step 4: Simplify right side
    12,230.38x = 122,425,939.82
  5. Step 5: Solve for x
    x = 122,425,939.82/12,230.38
  6. Step 6: Final answer
    x = 10,009.99

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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.