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Finding the Fourth Proportional to 12,861.81, 17,751.83 and 8,142.75

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Solution

The fourth proportional to 12,861.81, 17,751.83 and 8,142.75 is: 11,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.81 : 17,751.83 = 8,142.75 : x
  2. Step 2: Convert to fraction form
    12,861.81/17,751.83 = 8,142.75/x
  3. Step 3: Cross multiply
    12,861.81x = 17,751.83 × 8,142.75
  4. Step 4: Simplify right side
    12,861.81x = 144,548,673.02
  5. Step 5: Solve for x
    x = 144,548,673.02/12,861.81
  6. Step 6: Final answer
    x = 11,238.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.