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Finding the Fourth Proportional to 20,553.10, 30,830.71 and 6,514.62

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Solution

The fourth proportional to 20,553.10, 30,830.71 and 6,514.62 is: 9,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,553.10 : 30,830.71 = 6,514.62 : x
  2. Step 2: Convert to fraction form
    20,553.10/30,830.71 = 6,514.62/x
  3. Step 3: Cross multiply
    20,553.10x = 30,830.71 × 6,514.62
  4. Step 4: Simplify right side
    20,553.10x = 200,850,173.25
  5. Step 5: Solve for x
    x = 200,850,173.25/20,553.10
  6. Step 6: Final answer
    x = 9,772.26

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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.