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Finding the Fourth Proportional to 17,221.48, 23,766.42 and 13,489

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Solution

The fourth proportional to 17,221.48, 23,766.42 and 13,489 is: 18,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.48 : 23,766.42 = 13,489 : x
  2. Step 2: Convert to fraction form
    17,221.48/23,766.42 = 13,489/x
  3. Step 3: Cross multiply
    17,221.48x = 23,766.42 × 13,489
  4. Step 4: Simplify right side
    17,221.48x = 320,585,239.38
  5. Step 5: Solve for x
    x = 320,585,239.38/17,221.48
  6. Step 6: Final answer
    x = 18,615.43

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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.