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Finding the Fourth Proportional to 22,355.28, 33,523.83 and 9,705.96

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Solution

The fourth proportional to 22,355.28, 33,523.83 and 9,705.96 is: 14,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,355.28 : 33,523.83 = 9,705.96 : x
  2. Step 2: Convert to fraction form
    22,355.28/33,523.83 = 9,705.96/x
  3. Step 3: Cross multiply
    22,355.28x = 33,523.83 × 9,705.96
  4. Step 4: Simplify right side
    22,355.28x = 325,380,953.03
  5. Step 5: Solve for x
    x = 325,380,953.03/22,355.28
  6. Step 6: Final answer
    x = 14,554.99

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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.