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Finding the Fourth Proportional to 20,240.49, 27,930.51 and 11,742.87

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Solution

The fourth proportional to 20,240.49, 27,930.51 and 11,742.87 is: 16,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240.49 : 27,930.51 = 11,742.87 : x
  2. Step 2: Convert to fraction form
    20,240.49/27,930.51 = 11,742.87/x
  3. Step 3: Cross multiply
    20,240.49x = 27,930.51 × 11,742.87
  4. Step 4: Simplify right side
    20,240.49x = 327,984,347.96
  5. Step 5: Solve for x
    x = 327,984,347.96/20,240.49
  6. Step 6: Final answer
    x = 16,204.37

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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.