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Finding the Fourth Proportional to 20,175.19, 30,267.64 and 6,324.19

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Solution

The fourth proportional to 20,175.19, 30,267.64 and 6,324.19 is: 9,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.19 : 30,267.64 = 6,324.19 : x
  2. Step 2: Convert to fraction form
    20,175.19/30,267.64 = 6,324.19/x
  3. Step 3: Cross multiply
    20,175.19x = 30,267.64 × 6,324.19
  4. Step 4: Simplify right side
    20,175.19x = 191,418,238.45
  5. Step 5: Solve for x
    x = 191,418,238.45/20,175.19
  6. Step 6: Final answer
    x = 9,487.80

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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.