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Finding the Fourth Proportional to 18,512.32, 27,772.32 and 6,200

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Solution

The fourth proportional to 18,512.32, 27,772.32 and 6,200 is: 9,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,512.32 : 27,772.32 = 6,200 : x
  2. Step 2: Convert to fraction form
    18,512.32/27,772.32 = 6,200/x
  3. Step 3: Cross multiply
    18,512.32x = 27,772.32 × 6,200
  4. Step 4: Simplify right side
    18,512.32x = 172,188,384
  5. Step 5: Solve for x
    x = 172,188,384/18,512.32
  6. Step 6: Final answer
    x = 9,301.29

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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.