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Finding the Fourth Proportional to 38,352.96, 57,543.30 and 13,396.68

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Solution

The fourth proportional to 38,352.96, 57,543.30 and 13,396.68 is: 20,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,352.96 : 57,543.30 = 13,396.68 : x
  2. Step 2: Convert to fraction form
    38,352.96/57,543.30 = 13,396.68/x
  3. Step 3: Cross multiply
    38,352.96x = 57,543.30 × 13,396.68
  4. Step 4: Simplify right side
    38,352.96x = 770,889,176.24
  5. Step 5: Solve for x
    x = 770,889,176.24/38,352.96
  6. Step 6: Final answer
    x = 20,099.86

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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.