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Finding the Fourth Proportional to 20,727.66, 31,080.48 and 8,241.26

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Solution

The fourth proportional to 20,727.66, 31,080.48 and 8,241.26 is: 12,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,727.66 : 31,080.48 = 8,241.26 : x
  2. Step 2: Convert to fraction form
    20,727.66/31,080.48 = 8,241.26/x
  3. Step 3: Cross multiply
    20,727.66x = 31,080.48 × 8,241.26
  4. Step 4: Simplify right side
    20,727.66x = 256,142,130.30
  5. Step 5: Solve for x
    x = 256,142,130.30/20,727.66
  6. Step 6: Final answer
    x = 12,357.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.