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Finding the Fourth Proportional to 16,476.67, 22,737.87 and 8,923

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Solution

The fourth proportional to 16,476.67, 22,737.87 and 8,923 is: 12,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.67 : 22,737.87 = 8,923 : x
  2. Step 2: Convert to fraction form
    16,476.67/22,737.87 = 8,923/x
  3. Step 3: Cross multiply
    16,476.67x = 22,737.87 × 8,923
  4. Step 4: Simplify right side
    16,476.67x = 202,890,014.01
  5. Step 5: Solve for x
    x = 202,890,014.01/16,476.67
  6. Step 6: Final answer
    x = 12,313.78

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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.