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Finding the Fourth Proportional to 20,511.38, 30,767.07 and 6,471.45

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Solution

The fourth proportional to 20,511.38, 30,767.07 and 6,471.45 is: 9,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.38 : 30,767.07 = 6,471.45 : x
  2. Step 2: Convert to fraction form
    20,511.38/30,767.07 = 6,471.45/x
  3. Step 3: Cross multiply
    20,511.38x = 30,767.07 × 6,471.45
  4. Step 4: Simplify right side
    20,511.38x = 199,107,579.42
  5. Step 5: Solve for x
    x = 199,107,579.42/20,511.38
  6. Step 6: Final answer
    x = 9,707.18

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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.