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Finding the Fourth Proportional to 17,274.92, 25,887.90 and 13,361

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Solution

The fourth proportional to 17,274.92, 25,887.90 and 13,361 is: 20,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.92 : 25,887.90 = 13,361 : x
  2. Step 2: Convert to fraction form
    17,274.92/25,887.90 = 13,361/x
  3. Step 3: Cross multiply
    17,274.92x = 25,887.90 × 13,361
  4. Step 4: Simplify right side
    17,274.92x = 345,888,231.90
  5. Step 5: Solve for x
    x = 345,888,231.90/17,274.92
  6. Step 6: Final answer
    x = 20,022.57

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Why These Related Problems?

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