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Finding the Fourth Proportional to 38,396.24, 57,579.28 and 11,734

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Solution

The fourth proportional to 38,396.24, 57,579.28 and 11,734 is: 17,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,396.24 : 57,579.28 = 11,734 : x
  2. Step 2: Convert to fraction form
    38,396.24/57,579.28 = 11,734/x
  3. Step 3: Cross multiply
    38,396.24x = 57,579.28 × 11,734
  4. Step 4: Simplify right side
    38,396.24x = 675,635,271.52
  5. Step 5: Solve for x
    x = 675,635,271.52/38,396.24
  6. Step 6: Final answer
    x = 17,596.39

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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.