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Finding the Fourth Proportional to 20,553.57, 30,832.78 and 6,514.24

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Solution

The fourth proportional to 20,553.57, 30,832.78 and 6,514.24 is: 9,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,553.57 : 30,832.78 = 6,514.24 : x
  2. Step 2: Convert to fraction form
    20,553.57/30,832.78 = 6,514.24/x
  3. Step 3: Cross multiply
    20,553.57x = 30,832.78 × 6,514.24
  4. Step 4: Simplify right side
    20,553.57x = 200,852,128.79
  5. Step 5: Solve for x
    x = 200,852,128.79/20,553.57
  6. Step 6: Final answer
    x = 9,772.13

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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.