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Finding the Fourth Proportional to 20,383.68, 28,131.84 and 12,000

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Solution

The fourth proportional to 20,383.68, 28,131.84 and 12,000 is: 16,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,383.68 : 28,131.84 = 12,000 : x
  2. Step 2: Convert to fraction form
    20,383.68/28,131.84 = 12,000/x
  3. Step 3: Cross multiply
    20,383.68x = 28,131.84 × 12,000
  4. Step 4: Simplify right side
    20,383.68x = 337,582,080
  5. Step 5: Solve for x
    x = 337,582,080/20,383.68
  6. Step 6: Final answer
    x = 16,561.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.