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Finding the Fourth Proportional to 20,240.84, 27,932.07 and 11,742.32

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Solution

The fourth proportional to 20,240.84, 27,932.07 and 11,742.32 is: 16,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240.84 : 27,932.07 = 11,742.32 : x
  2. Step 2: Convert to fraction form
    20,240.84/27,932.07 = 11,742.32/x
  3. Step 3: Cross multiply
    20,240.84x = 27,932.07 × 11,742.32
  4. Step 4: Simplify right side
    20,240.84x = 327,987,304.20
  5. Step 5: Solve for x
    x = 327,987,304.20/20,240.84
  6. Step 6: Final answer
    x = 16,204.23

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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.