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Finding the Fourth Proportional to 20,186.63, 30,284.80 and 6,335.63

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Solution

The fourth proportional to 20,186.63, 30,284.80 and 6,335.63 is: 9,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.63 : 30,284.80 = 6,335.63 : x
  2. Step 2: Convert to fraction form
    20,186.63/30,284.80 = 6,335.63/x
  3. Step 3: Cross multiply
    20,186.63x = 30,284.80 × 6,335.63
  4. Step 4: Simplify right side
    20,186.63x = 191,873,287.42
  5. Step 5: Solve for x
    x = 191,873,287.42/20,186.63
  6. Step 6: Final answer
    x = 9,504.97

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