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Finding the Fourth Proportional to 13,606.42, 20,414.04 and 6,676.06

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Solution

The fourth proportional to 13,606.42, 20,414.04 and 6,676.06 is: 10,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606.42 : 20,414.04 = 6,676.06 : x
  2. Step 2: Convert to fraction form
    13,606.42/20,414.04 = 6,676.06/x
  3. Step 3: Cross multiply
    13,606.42x = 20,414.04 × 6,676.06
  4. Step 4: Simplify right side
    13,606.42x = 136,285,355.88
  5. Step 5: Solve for x
    x = 136,285,355.88/13,606.42
  6. Step 6: Final answer
    x = 10,016.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.