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Finding the Fourth Proportional to 19,861.10, 29,779.50 and 8,020.32

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Solution

The fourth proportional to 19,861.10, 29,779.50 and 8,020.32 is: 12,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.10 : 29,779.50 = 8,020.32 : x
  2. Step 2: Convert to fraction form
    19,861.10/29,779.50 = 8,020.32/x
  3. Step 3: Cross multiply
    19,861.10x = 29,779.50 × 8,020.32
  4. Step 4: Simplify right side
    19,861.10x = 238,841,119.44
  5. Step 5: Solve for x
    x = 238,841,119.44/19,861.10
  6. Step 6: Final answer
    x = 12,025.57

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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.