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Finding the Fourth Proportional to 22,505.96, 33,763.44 and 6,923

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Solution

The fourth proportional to 22,505.96, 33,763.44 and 6,923 is: 10,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.96 : 33,763.44 = 6,923 : x
  2. Step 2: Convert to fraction form
    22,505.96/33,763.44 = 6,923/x
  3. Step 3: Cross multiply
    22,505.96x = 33,763.44 × 6,923
  4. Step 4: Simplify right side
    22,505.96x = 233,744,295.12
  5. Step 5: Solve for x
    x = 233,744,295.12/22,505.96
  6. Step 6: Final answer
    x = 10,385.88

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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.