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Finding the Fourth Proportional to 16,226.84, 22,393.20 and 9,516.44

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Solution

The fourth proportional to 16,226.84, 22,393.20 and 9,516.44 is: 13,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.84 : 22,393.20 = 9,516.44 : x
  2. Step 2: Convert to fraction form
    16,226.84/22,393.20 = 9,516.44/x
  3. Step 3: Cross multiply
    16,226.84x = 22,393.20 × 9,516.44
  4. Step 4: Simplify right side
    16,226.84x = 213,103,544.21
  5. Step 5: Solve for x
    x = 213,103,544.21/16,226.84
  6. Step 6: Final answer
    x = 13,132.78

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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.