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Finding the Fourth Proportional to 12,419.38, 18,629.23 and 6,883.54

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Solution

The fourth proportional to 12,419.38, 18,629.23 and 6,883.54 is: 10,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.38 : 18,629.23 = 6,883.54 : x
  2. Step 2: Convert to fraction form
    12,419.38/18,629.23 = 6,883.54/x
  3. Step 3: Cross multiply
    12,419.38x = 18,629.23 × 6,883.54
  4. Step 4: Simplify right side
    12,419.38x = 128,235,049.87
  5. Step 5: Solve for x
    x = 128,235,049.87/12,419.38
  6. Step 6: Final answer
    x = 10,325.40

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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.