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Finding the Fourth Proportional to 30,433.32, 41,997.89 and 16,821.27

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Solution

The fourth proportional to 30,433.32, 41,997.89 and 16,821.27 is: 23,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.32 : 41,997.89 = 16,821.27 : x
  2. Step 2: Convert to fraction form
    30,433.32/41,997.89 = 16,821.27/x
  3. Step 3: Cross multiply
    30,433.32x = 41,997.89 × 16,821.27
  4. Step 4: Simplify right side
    30,433.32x = 706,457,889.17
  5. Step 5: Solve for x
    x = 706,457,889.17/30,433.32
  6. Step 6: Final answer
    x = 23,213.30

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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.