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Finding the Fourth Proportional to 21,174.18, 31,757.42 and 8,022.22

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Solution

The fourth proportional to 21,174.18, 31,757.42 and 8,022.22 is: 12,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.18 : 31,757.42 = 8,022.22 : x
  2. Step 2: Convert to fraction form
    21,174.18/31,757.42 = 8,022.22/x
  3. Step 3: Cross multiply
    21,174.18x = 31,757.42 × 8,022.22
  4. Step 4: Simplify right side
    21,174.18x = 254,765,009.87
  5. Step 5: Solve for x
    x = 254,765,009.87/21,174.18
  6. Step 6: Final answer
    x = 12,031.87

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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.