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Finding the Fourth Proportional to 22,624.02, 33,935.52 and 7,832.04

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Solution

The fourth proportional to 22,624.02, 33,935.52 and 7,832.04 is: 11,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.02 : 33,935.52 = 7,832.04 : x
  2. Step 2: Convert to fraction form
    22,624.02/33,935.52 = 7,832.04/x
  3. Step 3: Cross multiply
    22,624.02x = 33,935.52 × 7,832.04
  4. Step 4: Simplify right side
    22,624.02x = 265,784,350.06
  5. Step 5: Solve for x
    x = 265,784,350.06/22,624.02
  6. Step 6: Final answer
    x = 11,747.88

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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.