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Finding the Fourth Proportional to 20,258.64, 30,383.82 and 6,215.04

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Solution

The fourth proportional to 20,258.64, 30,383.82 and 6,215.04 is: 9,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,258.64 : 30,383.82 = 6,215.04 : x
  2. Step 2: Convert to fraction form
    20,258.64/30,383.82 = 6,215.04/x
  3. Step 3: Cross multiply
    20,258.64x = 30,383.82 × 6,215.04
  4. Step 4: Simplify right side
    20,258.64x = 188,836,656.65
  5. Step 5: Solve for x
    x = 188,836,656.65/20,258.64
  6. Step 6: Final answer
    x = 9,321.29

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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.