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Finding the Fourth Proportional to 12,861.94, 17,755.54 and 9,676.45

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Solution

The fourth proportional to 12,861.94, 17,755.54 and 9,676.45 is: 13,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.94 : 17,755.54 = 9,676.45 : x
  2. Step 2: Convert to fraction form
    12,861.94/17,755.54 = 9,676.45/x
  3. Step 3: Cross multiply
    12,861.94x = 17,755.54 × 9,676.45
  4. Step 4: Simplify right side
    12,861.94x = 171,810,493.16
  5. Step 5: Solve for x
    x = 171,810,493.16/12,861.94
  6. Step 6: Final answer
    x = 13,358.05

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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.