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Finding the Fourth Proportional to 38,516.26, 57,779.26 and 12,211.60

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Solution

The fourth proportional to 38,516.26, 57,779.26 and 12,211.60 is: 18,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,516.26 : 57,779.26 = 12,211.60 : x
  2. Step 2: Convert to fraction form
    38,516.26/57,779.26 = 12,211.60/x
  3. Step 3: Cross multiply
    38,516.26x = 57,779.26 × 12,211.60
  4. Step 4: Simplify right side
    38,516.26x = 705,577,211.42
  5. Step 5: Solve for x
    x = 705,577,211.42/38,516.26
  6. Step 6: Final answer
    x = 18,318.94

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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.