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Finding the Fourth Proportional to 16,162.81, 22,304.50 and 8,992.69

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Solution

The fourth proportional to 16,162.81, 22,304.50 and 8,992.69 is: 12,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.81 : 22,304.50 = 8,992.69 : x
  2. Step 2: Convert to fraction form
    16,162.81/22,304.50 = 8,992.69/x
  3. Step 3: Cross multiply
    16,162.81x = 22,304.50 × 8,992.69
  4. Step 4: Simplify right side
    16,162.81x = 200,577,375.86
  5. Step 5: Solve for x
    x = 200,577,375.86/16,162.81
  6. Step 6: Final answer
    x = 12,409.81

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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.