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Finding the Fourth Proportional to 20,475.52, 30,713.45 and 6,435.21

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Solution

The fourth proportional to 20,475.52, 30,713.45 and 6,435.21 is: 9,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.52 : 30,713.45 = 6,435.21 : x
  2. Step 2: Convert to fraction form
    20,475.52/30,713.45 = 6,435.21/x
  3. Step 3: Cross multiply
    20,475.52x = 30,713.45 × 6,435.21
  4. Step 4: Simplify right side
    20,475.52x = 197,647,583.57
  5. Step 5: Solve for x
    x = 197,647,583.57/20,475.52
  6. Step 6: Final answer
    x = 9,652.87

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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.