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Finding the Fourth Proportional to 13,788.68, 20,676.06 and 8,172.04

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Solution

The fourth proportional to 13,788.68, 20,676.06 and 8,172.04 is: 12,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.68 : 20,676.06 = 8,172.04 : x
  2. Step 2: Convert to fraction form
    13,788.68/20,676.06 = 8,172.04/x
  3. Step 3: Cross multiply
    13,788.68x = 20,676.06 × 8,172.04
  4. Step 4: Simplify right side
    13,788.68x = 168,965,589.36
  5. Step 5: Solve for x
    x = 168,965,589.36/13,788.68
  6. Step 6: Final answer
    x = 12,253.94

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Why These Related Problems?

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