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Finding the Fourth Proportional to 27,873, 38,460.42 and 15,936.84

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Solution

The fourth proportional to 27,873, 38,460.42 and 15,936.84 is: 21,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873 : 38,460.42 = 15,936.84 : x
  2. Step 2: Convert to fraction form
    27,873/38,460.42 = 15,936.84/x
  3. Step 3: Cross multiply
    27,873x = 38,460.42 × 15,936.84
  4. Step 4: Simplify right side
    27,873x = 612,937,559.87
  5. Step 5: Solve for x
    x = 612,937,559.87/27,873
  6. Step 6: Final answer
    x = 21,990.37

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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.