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Finding the Fourth Proportional to 38,357.69, 57,537.14 and 11,704.23

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Solution

The fourth proportional to 38,357.69, 57,537.14 and 11,704.23 is: 17,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,357.69 : 57,537.14 = 11,704.23 : x
  2. Step 2: Convert to fraction form
    38,357.69/57,537.14 = 11,704.23/x
  3. Step 3: Cross multiply
    38,357.69x = 57,537.14 × 11,704.23
  4. Step 4: Simplify right side
    38,357.69x = 673,427,861.58
  5. Step 5: Solve for x
    x = 673,427,861.58/38,357.69
  6. Step 6: Final answer
    x = 17,556.53

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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.