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Finding the Fourth Proportional to 13,286.34, 18,202.37 and 12,788.10

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Solution

The fourth proportional to 13,286.34, 18,202.37 and 12,788.10 is: 17,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.34 : 18,202.37 = 12,788.10 : x
  2. Step 2: Convert to fraction form
    13,286.34/18,202.37 = 12,788.10/x
  3. Step 3: Cross multiply
    13,286.34x = 18,202.37 × 12,788.10
  4. Step 4: Simplify right side
    13,286.34x = 232,773,727.80
  5. Step 5: Solve for x
    x = 232,773,727.80/13,286.34
  6. Step 6: Final answer
    x = 17,519.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.