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Finding the Fourth Proportional to 22,276.12, 33,419 and 6,694.96

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Solution

The fourth proportional to 22,276.12, 33,419 and 6,694.96 is: 10,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276.12 : 33,419 = 6,694.96 : x
  2. Step 2: Convert to fraction form
    22,276.12/33,419 = 6,694.96/x
  3. Step 3: Cross multiply
    22,276.12x = 33,419 × 6,694.96
  4. Step 4: Simplify right side
    22,276.12x = 223,738,868.24
  5. Step 5: Solve for x
    x = 223,738,868.24/22,276.12
  6. Step 6: Final answer
    x = 10,043.89

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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.