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Finding the Fourth Proportional to 17,274.29, 25,914.78 and 6,743.88

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Solution

The fourth proportional to 17,274.29, 25,914.78 and 6,743.88 is: 10,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.29 : 25,914.78 = 6,743.88 : x
  2. Step 2: Convert to fraction form
    17,274.29/25,914.78 = 6,743.88/x
  3. Step 3: Cross multiply
    17,274.29x = 25,914.78 × 6,743.88
  4. Step 4: Simplify right side
    17,274.29x = 174,766,166.55
  5. Step 5: Solve for x
    x = 174,766,166.55/17,274.29
  6. Step 6: Final answer
    x = 10,117.13

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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.