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Finding the Fourth Proportional to 31,682.88, 43,727.16 and 18,256.12

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Solution

The fourth proportional to 31,682.88, 43,727.16 and 18,256.12 is: 25,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.88 : 43,727.16 = 18,256.12 : x
  2. Step 2: Convert to fraction form
    31,682.88/43,727.16 = 18,256.12/x
  3. Step 3: Cross multiply
    31,682.88x = 43,727.16 × 18,256.12
  4. Step 4: Simplify right side
    31,682.88x = 798,288,280.22
  5. Step 5: Solve for x
    x = 798,288,280.22/31,682.88
  6. Step 6: Final answer
    x = 25,196.20

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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.