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Finding the Fourth Proportional to 20,323.80, 30,446.82 and 13,717.44

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Solution

The fourth proportional to 20,323.80, 30,446.82 and 13,717.44 is: 20,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,323.80 : 30,446.82 = 13,717.44 : x
  2. Step 2: Convert to fraction form
    20,323.80/30,446.82 = 13,717.44/x
  3. Step 3: Cross multiply
    20,323.80x = 30,446.82 × 13,717.44
  4. Step 4: Simplify right side
    20,323.80x = 417,652,426.54
  5. Step 5: Solve for x
    x = 417,652,426.54/20,323.80
  6. Step 6: Final answer
    x = 20,549.92

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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.