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Finding the Fourth Proportional to 11,424.70, 17,144.70 and 4,029.22

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Solution

The fourth proportional to 11,424.70, 17,144.70 and 4,029.22 is: 6,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.70 : 17,144.70 = 4,029.22 : x
  2. Step 2: Convert to fraction form
    11,424.70/17,144.70 = 4,029.22/x
  3. Step 3: Cross multiply
    11,424.70x = 17,144.70 × 4,029.22
  4. Step 4: Simplify right side
    11,424.70x = 69,079,768.13
  5. Step 5: Solve for x
    x = 69,079,768.13/11,424.70
  6. Step 6: Final answer
    x = 6,046.53

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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.