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Finding the Fourth Proportional to 16,809, 23,196.51 and 9,357

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Solution

The fourth proportional to 16,809, 23,196.51 and 9,357 is: 12,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809 : 23,196.51 = 9,357 : x
  2. Step 2: Convert to fraction form
    16,809/23,196.51 = 9,357/x
  3. Step 3: Cross multiply
    16,809x = 23,196.51 × 9,357
  4. Step 4: Simplify right side
    16,809x = 217,049,744.07
  5. Step 5: Solve for x
    x = 217,049,744.07/16,809
  6. Step 6: Final answer
    x = 12,912.71

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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.