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Finding the Fourth Proportional to 16,524.25, 22,796.97 and 9,446.87

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Solution

The fourth proportional to 16,524.25, 22,796.97 and 9,446.87 is: 13,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.25 : 22,796.97 = 9,446.87 : x
  2. Step 2: Convert to fraction form
    16,524.25/22,796.97 = 9,446.87/x
  3. Step 3: Cross multiply
    16,524.25x = 22,796.97 × 9,446.87
  4. Step 4: Simplify right side
    16,524.25x = 215,360,011.98
  5. Step 5: Solve for x
    x = 215,360,011.98/16,524.25
  6. Step 6: Final answer
    x = 13,032.97

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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.