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Finding the Fourth Proportional to 20,214.60, 30,326 and 8,527.80

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Solution

The fourth proportional to 20,214.60, 30,326 and 8,527.80 is: 12,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.60 : 30,326 = 8,527.80 : x
  2. Step 2: Convert to fraction form
    20,214.60/30,326 = 8,527.80/x
  3. Step 3: Cross multiply
    20,214.60x = 30,326 × 8,527.80
  4. Step 4: Simplify right side
    20,214.60x = 258,614,062.80
  5. Step 5: Solve for x
    x = 258,614,062.80/20,214.60
  6. Step 6: Final answer
    x = 12,793.43

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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.