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Finding the Fourth Proportional to 16,286.21, 22,472.04 and 9,573.19

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Solution

The fourth proportional to 16,286.21, 22,472.04 and 9,573.19 is: 13,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.21 : 22,472.04 = 9,573.19 : x
  2. Step 2: Convert to fraction form
    16,286.21/22,472.04 = 9,573.19/x
  3. Step 3: Cross multiply
    16,286.21x = 22,472.04 × 9,573.19
  4. Step 4: Simplify right side
    16,286.21x = 215,129,052.43
  5. Step 5: Solve for x
    x = 215,129,052.43/16,286.21
  6. Step 6: Final answer
    x = 13,209.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.