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Finding the Fourth Proportional to 20,204.96, 30,274.01 and 10,330.65

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Solution

The fourth proportional to 20,204.96, 30,274.01 and 10,330.65 is: 15,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204.96 : 30,274.01 = 10,330.65 : x
  2. Step 2: Convert to fraction form
    20,204.96/30,274.01 = 10,330.65/x
  3. Step 3: Cross multiply
    20,204.96x = 30,274.01 × 10,330.65
  4. Step 4: Simplify right side
    20,204.96x = 312,750,201.41
  5. Step 5: Solve for x
    x = 312,750,201.41/20,204.96
  6. Step 6: Final answer
    x = 15,478.88

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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.