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Finding the Fourth Proportional to 30,224.30, 41,709.55 and 16,796.80

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Solution

The fourth proportional to 30,224.30, 41,709.55 and 16,796.80 is: 23,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.30 : 41,709.55 = 16,796.80 : x
  2. Step 2: Convert to fraction form
    30,224.30/41,709.55 = 16,796.80/x
  3. Step 3: Cross multiply
    30,224.30x = 41,709.55 × 16,796.80
  4. Step 4: Simplify right side
    30,224.30x = 700,586,927.45
  5. Step 5: Solve for x
    x = 700,586,927.45/30,224.30
  6. Step 6: Final answer
    x = 23,179.60

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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.