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Finding the Fourth Proportional to 13,676.98, 18,871.56 and 8,368.04

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Solution

The fourth proportional to 13,676.98, 18,871.56 and 8,368.04 is: 11,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.98 : 18,871.56 = 8,368.04 : x
  2. Step 2: Convert to fraction form
    13,676.98/18,871.56 = 8,368.04/x
  3. Step 3: Cross multiply
    13,676.98x = 18,871.56 × 8,368.04
  4. Step 4: Simplify right side
    13,676.98x = 157,917,968.94
  5. Step 5: Solve for x
    x = 157,917,968.94/13,676.98
  6. Step 6: Final answer
    x = 11,546.26

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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.