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Finding the Fourth Proportional to 27,911.36, 38,519.82 and 15,978.44

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Solution

The fourth proportional to 27,911.36, 38,519.82 and 15,978.44 is: 22,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.36 : 38,519.82 = 15,978.44 : x
  2. Step 2: Convert to fraction form
    27,911.36/38,519.82 = 15,978.44/x
  3. Step 3: Cross multiply
    27,911.36x = 38,519.82 × 15,978.44
  4. Step 4: Simplify right side
    27,911.36x = 615,486,632.68
  5. Step 5: Solve for x
    x = 615,486,632.68/27,911.36
  6. Step 6: Final answer
    x = 22,051.47

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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.