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Finding the Fourth Proportional to 20,150.75, 27,820.43 and 12,993.03

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Solution

The fourth proportional to 20,150.75, 27,820.43 and 12,993.03 is: 17,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,150.75 : 27,820.43 = 12,993.03 : x
  2. Step 2: Convert to fraction form
    20,150.75/27,820.43 = 12,993.03/x
  3. Step 3: Cross multiply
    20,150.75x = 27,820.43 × 12,993.03
  4. Step 4: Simplify right side
    20,150.75x = 361,471,681.60
  5. Step 5: Solve for x
    x = 361,471,681.60/20,150.75
  6. Step 6: Final answer
    x = 17,938.37

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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.