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Finding the Fourth Proportional to 20,140.40, 30,174.15 and 17,224.40

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Solution

The fourth proportional to 20,140.40, 30,174.15 and 17,224.40 is: 25,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.40 : 30,174.15 = 17,224.40 : x
  2. Step 2: Convert to fraction form
    20,140.40/30,174.15 = 17,224.40/x
  3. Step 3: Cross multiply
    20,140.40x = 30,174.15 × 17,224.40
  4. Step 4: Simplify right side
    20,140.40x = 519,731,629.26
  5. Step 5: Solve for x
    x = 519,731,629.26/20,140.40
  6. Step 6: Final answer
    x = 25,805.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.