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Finding the Fourth Proportional to 20,903.52, 31,348.96 and 8,419.52

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Solution

The fourth proportional to 20,903.52, 31,348.96 and 8,419.52 is: 12,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,903.52 : 31,348.96 = 8,419.52 : x
  2. Step 2: Convert to fraction form
    20,903.52/31,348.96 = 8,419.52/x
  3. Step 3: Cross multiply
    20,903.52x = 31,348.96 × 8,419.52
  4. Step 4: Simplify right side
    20,903.52x = 263,943,195.70
  5. Step 5: Solve for x
    x = 263,943,195.70/20,903.52
  6. Step 6: Final answer
    x = 12,626.73

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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.