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Finding the Fourth Proportional to 27,638.52, 38,119.23 and 17,937.38

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Solution

The fourth proportional to 27,638.52, 38,119.23 and 17,937.38 is: 24,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.52 : 38,119.23 = 17,937.38 : x
  2. Step 2: Convert to fraction form
    27,638.52/38,119.23 = 17,937.38/x
  3. Step 3: Cross multiply
    27,638.52x = 38,119.23 × 17,937.38
  4. Step 4: Simplify right side
    27,638.52x = 683,759,302.43
  5. Step 5: Solve for x
    x = 683,759,302.43/27,638.52
  6. Step 6: Final answer
    x = 24,739.36

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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.