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Finding the Fourth Proportional to 17,200.35, 25,858.85 and 13,734.63

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Solution

The fourth proportional to 17,200.35, 25,858.85 and 13,734.63 is: 20,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.35 : 25,858.85 = 13,734.63 : x
  2. Step 2: Convert to fraction form
    17,200.35/25,858.85 = 13,734.63/x
  3. Step 3: Cross multiply
    17,200.35x = 25,858.85 × 13,734.63
  4. Step 4: Simplify right side
    17,200.35x = 355,161,668.30
  5. Step 5: Solve for x
    x = 355,161,668.30/17,200.35
  6. Step 6: Final answer
    x = 20,648.51

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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.