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Finding the Fourth Proportional to 38,197.74, 57,296.60 and 11,904.60

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Solution

The fourth proportional to 38,197.74, 57,296.60 and 11,904.60 is: 17,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.74 : 57,296.60 = 11,904.60 : x
  2. Step 2: Convert to fraction form
    38,197.74/57,296.60 = 11,904.60/x
  3. Step 3: Cross multiply
    38,197.74x = 57,296.60 × 11,904.60
  4. Step 4: Simplify right side
    38,197.74x = 682,093,104.36
  5. Step 5: Solve for x
    x = 682,093,104.36/38,197.74
  6. Step 6: Final answer
    x = 17,856.90

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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.