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Finding the Fourth Proportional to 17,204.60, 25,865.22 and 13,738.88

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Solution

The fourth proportional to 17,204.60, 25,865.22 and 13,738.88 is: 20,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.60 : 25,865.22 = 13,738.88 : x
  2. Step 2: Convert to fraction form
    17,204.60/25,865.22 = 13,738.88/x
  3. Step 3: Cross multiply
    17,204.60x = 25,865.22 × 13,738.88
  4. Step 4: Simplify right side
    17,204.60x = 355,359,153.75
  5. Step 5: Solve for x
    x = 355,359,153.75/17,204.60
  6. Step 6: Final answer
    x = 20,654.89

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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.