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Finding the Fourth Proportional to 20,646.75, 30,903.53 and 10,771.95

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Solution

The fourth proportional to 20,646.75, 30,903.53 and 10,771.95 is: 16,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.75 : 30,903.53 = 10,771.95 : x
  2. Step 2: Convert to fraction form
    20,646.75/30,903.53 = 10,771.95/x
  3. Step 3: Cross multiply
    20,646.75x = 30,903.53 × 10,771.95
  4. Step 4: Simplify right side
    20,646.75x = 332,891,226.12
  5. Step 5: Solve for x
    x = 332,891,226.12/20,646.75
  6. Step 6: Final answer
    x = 16,123.18

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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.