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Finding the Fourth Proportional to 20,174.10, 30,257.10 and 9,644.10

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Solution

The fourth proportional to 20,174.10, 30,257.10 and 9,644.10 is: 14,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.10 : 30,257.10 = 9,644.10 : x
  2. Step 2: Convert to fraction form
    20,174.10/30,257.10 = 9,644.10/x
  3. Step 3: Cross multiply
    20,174.10x = 30,257.10 × 9,644.10
  4. Step 4: Simplify right side
    20,174.10x = 291,802,498.11
  5. Step 5: Solve for x
    x = 291,802,498.11/20,174.10
  6. Step 6: Final answer
    x = 14,464.21

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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.