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Finding the Fourth Proportional to 20,502.24, 30,765.60 and 8,815.20

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Solution

The fourth proportional to 20,502.24, 30,765.60 and 8,815.20 is: 13,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.24 : 30,765.60 = 8,815.20 : x
  2. Step 2: Convert to fraction form
    20,502.24/30,765.60 = 8,815.20/x
  3. Step 3: Cross multiply
    20,502.24x = 30,765.60 × 8,815.20
  4. Step 4: Simplify right side
    20,502.24x = 271,204,917.12
  5. Step 5: Solve for x
    x = 271,204,917.12/20,502.24
  6. Step 6: Final answer
    x = 13,228.06

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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.