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Finding the Fourth Proportional to 20,213.64, 27,906.40 and 13,510.62

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Solution

The fourth proportional to 20,213.64, 27,906.40 and 13,510.62 is: 18,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.64 : 27,906.40 = 13,510.62 : x
  2. Step 2: Convert to fraction form
    20,213.64/27,906.40 = 13,510.62/x
  3. Step 3: Cross multiply
    20,213.64x = 27,906.40 × 13,510.62
  4. Step 4: Simplify right side
    20,213.64x = 377,032,765.97
  5. Step 5: Solve for x
    x = 377,032,765.97/20,213.64
  6. Step 6: Final answer
    x = 18,652.39

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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.