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Finding the Fourth Proportional to 12,861.37, 17,745.78 and 8,142.94

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Solution

The fourth proportional to 12,861.37, 17,745.78 and 8,142.94 is: 11,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.37 : 17,745.78 = 8,142.94 : x
  2. Step 2: Convert to fraction form
    12,861.37/17,745.78 = 8,142.94/x
  3. Step 3: Cross multiply
    12,861.37x = 17,745.78 × 8,142.94
  4. Step 4: Simplify right side
    12,861.37x = 144,502,821.79
  5. Step 5: Solve for x
    x = 144,502,821.79/12,861.37
  6. Step 6: Final answer
    x = 11,235.41

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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.