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Finding the Fourth Proportional to 12,029.72, 18,040.07 and 4,129.99

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Solution

The fourth proportional to 12,029.72, 18,040.07 and 4,129.99 is: 6,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.72 : 18,040.07 = 4,129.99 : x
  2. Step 2: Convert to fraction form
    12,029.72/18,040.07 = 4,129.99/x
  3. Step 3: Cross multiply
    12,029.72x = 18,040.07 × 4,129.99
  4. Step 4: Simplify right side
    12,029.72x = 74,505,273.92
  5. Step 5: Solve for x
    x = 74,505,273.92/12,029.72
  6. Step 6: Final answer
    x = 6,193.44

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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.