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Finding the Fourth Proportional to 20,182.68, 30,274.08 and 6,142.80

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Solution

The fourth proportional to 20,182.68, 30,274.08 and 6,142.80 is: 9,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.68 : 30,274.08 = 6,142.80 : x
  2. Step 2: Convert to fraction form
    20,182.68/30,274.08 = 6,142.80/x
  3. Step 3: Cross multiply
    20,182.68x = 30,274.08 × 6,142.80
  4. Step 4: Simplify right side
    20,182.68x = 185,967,618.62
  5. Step 5: Solve for x
    x = 185,967,618.62/20,182.68
  6. Step 6: Final answer
    x = 9,214.22

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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.