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Finding the Fourth Proportional to 16,226.30, 22,391.81 and 9,056.42

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Solution

The fourth proportional to 16,226.30, 22,391.81 and 9,056.42 is: 12,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.30 : 22,391.81 = 9,056.42 : x
  2. Step 2: Convert to fraction form
    16,226.30/22,391.81 = 9,056.42/x
  3. Step 3: Cross multiply
    16,226.30x = 22,391.81 × 9,056.42
  4. Step 4: Simplify right side
    16,226.30x = 202,789,635.92
  5. Step 5: Solve for x
    x = 202,789,635.92/16,226.30
  6. Step 6: Final answer
    x = 12,497.59

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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.