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Finding the Fourth Proportional to 27,140.31, 37,476.56 and 20,414.22

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Solution

The fourth proportional to 27,140.31, 37,476.56 and 20,414.22 is: 28,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140.31 : 37,476.56 = 20,414.22 : x
  2. Step 2: Convert to fraction form
    27,140.31/37,476.56 = 20,414.22/x
  3. Step 3: Cross multiply
    27,140.31x = 37,476.56 × 20,414.22
  4. Step 4: Simplify right side
    27,140.31x = 765,054,604.34
  5. Step 5: Solve for x
    x = 765,054,604.34/27,140.31
  6. Step 6: Final answer
    x = 28,188.87

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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.