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Finding the Fourth Proportional to 20,446.97, 30,621.23 and 13,853.16

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Solution

The fourth proportional to 20,446.97, 30,621.23 and 13,853.16 is: 20,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.97 : 30,621.23 = 13,853.16 : x
  2. Step 2: Convert to fraction form
    20,446.97/30,621.23 = 13,853.16/x
  3. Step 3: Cross multiply
    20,446.97x = 30,621.23 × 13,853.16
  4. Step 4: Simplify right side
    20,446.97x = 424,200,729.32
  5. Step 5: Solve for x
    x = 424,200,729.32/20,446.97
  6. Step 6: Final answer
    x = 20,746.39

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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.