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Finding the Fourth Proportional to 20,677.25, 30,991.17 and 7,514.21

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Solution

The fourth proportional to 20,677.25, 30,991.17 and 7,514.21 is: 11,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,677.25 : 30,991.17 = 7,514.21 : x
  2. Step 2: Convert to fraction form
    20,677.25/30,991.17 = 7,514.21/x
  3. Step 3: Cross multiply
    20,677.25x = 30,991.17 × 7,514.21
  4. Step 4: Simplify right side
    20,677.25x = 232,874,159.53
  5. Step 5: Solve for x
    x = 232,874,159.53/20,677.25
  6. Step 6: Final answer
    x = 11,262.34

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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.