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Finding the Fourth Proportional to 27,996.98, 38,634.37 and 17,386.38

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Solution

The fourth proportional to 27,996.98, 38,634.37 and 17,386.38 is: 23,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.98 : 38,634.37 = 17,386.38 : x
  2. Step 2: Convert to fraction form
    27,996.98/38,634.37 = 17,386.38/x
  3. Step 3: Cross multiply
    27,996.98x = 38,634.37 × 17,386.38
  4. Step 4: Simplify right side
    27,996.98x = 671,711,794.41
  5. Step 5: Solve for x
    x = 671,711,794.41/27,996.98
  6. Step 6: Final answer
    x = 23,992.30

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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.