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Finding the Fourth Proportional to 12,028.50, 18,046.40 and 4,239.14

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Solution

The fourth proportional to 12,028.50, 18,046.40 and 4,239.14 is: 6,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,028.50 : 18,046.40 = 4,239.14 : x
  2. Step 2: Convert to fraction form
    12,028.50/18,046.40 = 4,239.14/x
  3. Step 3: Cross multiply
    12,028.50x = 18,046.40 × 4,239.14
  4. Step 4: Simplify right side
    12,028.50x = 76,501,104.67
  5. Step 5: Solve for x
    x = 76,501,104.67/12,028.50
  6. Step 6: Final answer
    x = 6,359.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.