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Finding the Fourth Proportional to 27,698.76, 38,213.40 and 15,760.44

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Solution

The fourth proportional to 27,698.76, 38,213.40 and 15,760.44 is: 21,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.76 : 38,213.40 = 15,760.44 : x
  2. Step 2: Convert to fraction form
    27,698.76/38,213.40 = 15,760.44/x
  3. Step 3: Cross multiply
    27,698.76x = 38,213.40 × 15,760.44
  4. Step 4: Simplify right side
    27,698.76x = 602,259,997.90
  5. Step 5: Solve for x
    x = 602,259,997.90/27,698.76
  6. Step 6: Final answer
    x = 21,743.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.