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Finding the Fourth Proportional to 20,513.66, 30,772.31 and 8,034.59

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Solution

The fourth proportional to 20,513.66, 30,772.31 and 8,034.59 is: 12,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.66 : 30,772.31 = 8,034.59 : x
  2. Step 2: Convert to fraction form
    20,513.66/30,772.31 = 8,034.59/x
  3. Step 3: Cross multiply
    20,513.66x = 30,772.31 × 8,034.59
  4. Step 4: Simplify right side
    20,513.66x = 247,242,930.96
  5. Step 5: Solve for x
    x = 247,242,930.96/20,513.66
  6. Step 6: Final answer
    x = 12,052.60

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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.