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Finding the Fourth Proportional to 13,654.34, 18,845.69 and 7,989.70

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Solution

The fourth proportional to 13,654.34, 18,845.69 and 7,989.70 is: 11,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.34 : 18,845.69 = 7,989.70 : x
  2. Step 2: Convert to fraction form
    13,654.34/18,845.69 = 7,989.70/x
  3. Step 3: Cross multiply
    13,654.34x = 18,845.69 × 7,989.70
  4. Step 4: Simplify right side
    13,654.34x = 150,571,409.39
  5. Step 5: Solve for x
    x = 150,571,409.39/13,654.34
  6. Step 6: Final answer
    x = 11,027.37

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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.