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Finding the Fourth Proportional to 23,120.71, 34,513.78 and 20,318.20

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Solution

The fourth proportional to 23,120.71, 34,513.78 and 20,318.20 is: 30,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,120.71 : 34,513.78 = 20,318.20 : x
  2. Step 2: Convert to fraction form
    23,120.71/34,513.78 = 20,318.20/x
  3. Step 3: Cross multiply
    23,120.71x = 34,513.78 × 20,318.20
  4. Step 4: Simplify right side
    23,120.71x = 701,257,884.80
  5. Step 5: Solve for x
    x = 701,257,884.80/23,120.71
  6. Step 6: Final answer
    x = 30,330.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.