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Finding the Fourth Proportional to 12,581.67, 18,861.66 and 5,181.51

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Solution

The fourth proportional to 12,581.67, 18,861.66 and 5,181.51 is: 7,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.67 : 18,861.66 = 5,181.51 : x
  2. Step 2: Convert to fraction form
    12,581.67/18,861.66 = 5,181.51/x
  3. Step 3: Cross multiply
    12,581.67x = 18,861.66 × 5,181.51
  4. Step 4: Simplify right side
    12,581.67x = 97,731,879.91
  5. Step 5: Solve for x
    x = 97,731,879.91/12,581.67
  6. Step 6: Final answer
    x = 7,767.80

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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.