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Finding the Fourth Proportional to 13,388.35, 18,471.70 and 7,722.33

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Solution

The fourth proportional to 13,388.35, 18,471.70 and 7,722.33 is: 10,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.35 : 18,471.70 = 7,722.33 : x
  2. Step 2: Convert to fraction form
    13,388.35/18,471.70 = 7,722.33/x
  3. Step 3: Cross multiply
    13,388.35x = 18,471.70 × 7,722.33
  4. Step 4: Simplify right side
    13,388.35x = 142,644,614.92
  5. Step 5: Solve for x
    x = 142,644,614.92/13,388.35
  6. Step 6: Final answer
    x = 10,654.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.