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Finding the Fourth Proportional to 13,789.68, 20,676.70 and 12,614.16

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Solution

The fourth proportional to 13,789.68, 20,676.70 and 12,614.16 is: 18,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.68 : 20,676.70 = 12,614.16 : x
  2. Step 2: Convert to fraction form
    13,789.68/20,676.70 = 12,614.16/x
  3. Step 3: Cross multiply
    13,789.68x = 20,676.70 × 12,614.16
  4. Step 4: Simplify right side
    13,789.68x = 260,819,202.07
  5. Step 5: Solve for x
    x = 260,819,202.07/13,789.68
  6. Step 6: Final answer
    x = 18,914.09

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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.