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Finding the Fourth Proportional to 20,282.40, 30,427.92 and 8,601.12

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Solution

The fourth proportional to 20,282.40, 30,427.92 and 8,601.12 is: 12,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282.40 : 30,427.92 = 8,601.12 : x
  2. Step 2: Convert to fraction form
    20,282.40/30,427.92 = 8,601.12/x
  3. Step 3: Cross multiply
    20,282.40x = 30,427.92 × 8,601.12
  4. Step 4: Simplify right side
    20,282.40x = 261,714,191.27
  5. Step 5: Solve for x
    x = 261,714,191.27/20,282.40
  6. Step 6: Final answer
    x = 12,903.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.