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Finding the Fourth Proportional to 20,535.17, 30,806.08 and 8,048.42

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Solution

The fourth proportional to 20,535.17, 30,806.08 and 8,048.42 is: 12,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.17 : 30,806.08 = 8,048.42 : x
  2. Step 2: Convert to fraction form
    20,535.17/30,806.08 = 8,048.42/x
  3. Step 3: Cross multiply
    20,535.17x = 30,806.08 × 8,048.42
  4. Step 4: Simplify right side
    20,535.17x = 247,940,327.29
  5. Step 5: Solve for x
    x = 247,940,327.29/20,535.17
  6. Step 6: Final answer
    x = 12,073.94

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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.