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Finding the Fourth Proportional to 13,676.92, 18,873.72 and 7,708.44

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Solution

The fourth proportional to 13,676.92, 18,873.72 and 7,708.44 is: 10,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.92 : 18,873.72 = 7,708.44 : x
  2. Step 2: Convert to fraction form
    13,676.92/18,873.72 = 7,708.44/x
  3. Step 3: Cross multiply
    13,676.92x = 18,873.72 × 7,708.44
  4. Step 4: Simplify right side
    13,676.92x = 145,486,938.20
  5. Step 5: Solve for x
    x = 145,486,938.20/13,676.92
  6. Step 6: Final answer
    x = 10,637.41

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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.