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Finding the Fourth Proportional to 17,057.21, 23,540.49 and 10,344.53

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Solution

The fourth proportional to 17,057.21, 23,540.49 and 10,344.53 is: 14,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.21 : 23,540.49 = 10,344.53 : x
  2. Step 2: Convert to fraction form
    17,057.21/23,540.49 = 10,344.53/x
  3. Step 3: Cross multiply
    17,057.21x = 23,540.49 × 10,344.53
  4. Step 4: Simplify right side
    17,057.21x = 243,515,363.87
  5. Step 5: Solve for x
    x = 243,515,363.87/17,057.21
  6. Step 6: Final answer
    x = 14,276.39

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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.