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Finding the Fourth Proportional to 38,397.54, 57,596.30 and 13,438.42

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Solution

The fourth proportional to 38,397.54, 57,596.30 and 13,438.42 is: 20,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,397.54 : 57,596.30 = 13,438.42 : x
  2. Step 2: Convert to fraction form
    38,397.54/57,596.30 = 13,438.42/x
  3. Step 3: Cross multiply
    38,397.54x = 57,596.30 × 13,438.42
  4. Step 4: Simplify right side
    38,397.54x = 774,003,269.85
  5. Step 5: Solve for x
    x = 774,003,269.85/38,397.54
  6. Step 6: Final answer
    x = 20,157.63

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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.