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Finding the Fourth Proportional to 22,624.92, 33,935.85 and 5,984.58

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Solution

The fourth proportional to 22,624.92, 33,935.85 and 5,984.58 is: 8,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.92 : 33,935.85 = 5,984.58 : x
  2. Step 2: Convert to fraction form
    22,624.92/33,935.85 = 5,984.58/x
  3. Step 3: Cross multiply
    22,624.92x = 33,935.85 × 5,984.58
  4. Step 4: Simplify right side
    22,624.92x = 203,091,809.19
  5. Step 5: Solve for x
    x = 203,091,809.19/22,624.92
  6. Step 6: Final answer
    x = 8,976.47

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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.