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Finding the Fourth Proportional to 20,128.42, 30,193.02 and 6,981.22

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Solution

The fourth proportional to 20,128.42, 30,193.02 and 6,981.22 is: 10,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.42 : 30,193.02 = 6,981.22 : x
  2. Step 2: Convert to fraction form
    20,128.42/30,193.02 = 6,981.22/x
  3. Step 3: Cross multiply
    20,128.42x = 30,193.02 × 6,981.22
  4. Step 4: Simplify right side
    20,128.42x = 210,784,115.08
  5. Step 5: Solve for x
    x = 210,784,115.08/20,128.42
  6. Step 6: Final answer
    x = 10,471.97

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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.