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Finding the Fourth Proportional to 12,580.12, 18,861.03 and 5,181.97

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Solution

The fourth proportional to 12,580.12, 18,861.03 and 5,181.97 is: 7,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.12 : 18,861.03 = 5,181.97 : x
  2. Step 2: Convert to fraction form
    12,580.12/18,861.03 = 5,181.97/x
  3. Step 3: Cross multiply
    12,580.12x = 18,861.03 × 5,181.97
  4. Step 4: Simplify right side
    12,580.12x = 97,737,291.63
  5. Step 5: Solve for x
    x = 97,737,291.63/12,580.12
  6. Step 6: Final answer
    x = 7,769.19

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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.