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Finding the Fourth Proportional to 16,279.68, 22,466.40 and 9,205.92

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Solution

The fourth proportional to 16,279.68, 22,466.40 and 9,205.92 is: 12,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.68 : 22,466.40 = 9,205.92 : x
  2. Step 2: Convert to fraction form
    16,279.68/22,466.40 = 9,205.92/x
  3. Step 3: Cross multiply
    16,279.68x = 22,466.40 × 9,205.92
  4. Step 4: Simplify right side
    16,279.68x = 206,823,881.09
  5. Step 5: Solve for x
    x = 206,823,881.09/16,279.68
  6. Step 6: Final answer
    x = 12,704.42

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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.