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Finding the Fourth Proportional to 22,385, 33,584.82 and 6,802.64

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Solution

The fourth proportional to 22,385, 33,584.82 and 6,802.64 is: 10,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385 : 33,584.82 = 6,802.64 : x
  2. Step 2: Convert to fraction form
    22,385/33,584.82 = 6,802.64/x
  3. Step 3: Cross multiply
    22,385x = 33,584.82 × 6,802.64
  4. Step 4: Simplify right side
    22,385x = 228,465,439.92
  5. Step 5: Solve for x
    x = 228,465,439.92/22,385
  6. Step 6: Final answer
    x = 10,206.18

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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.