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Finding the Fourth Proportional to 30,311.74, 41,829.92 and 16,882.21

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Solution

The fourth proportional to 30,311.74, 41,829.92 and 16,882.21 is: 23,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.74 : 41,829.92 = 16,882.21 : x
  2. Step 2: Convert to fraction form
    30,311.74/41,829.92 = 16,882.21/x
  3. Step 3: Cross multiply
    30,311.74x = 41,829.92 × 16,882.21
  4. Step 4: Simplify right side
    30,311.74x = 706,181,409.31
  5. Step 5: Solve for x
    x = 706,181,409.31/30,311.74
  6. Step 6: Final answer
    x = 23,297.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.