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Finding the Fourth Proportional to 16,469.10, 22,727.59 and 9,299.42

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Solution

The fourth proportional to 16,469.10, 22,727.59 and 9,299.42 is: 12,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.10 : 22,727.59 = 9,299.42 : x
  2. Step 2: Convert to fraction form
    16,469.10/22,727.59 = 9,299.42/x
  3. Step 3: Cross multiply
    16,469.10x = 22,727.59 × 9,299.42
  4. Step 4: Simplify right side
    16,469.10x = 211,353,405.00
  5. Step 5: Solve for x
    x = 211,353,405.00/16,469.10
  6. Step 6: Final answer
    x = 12,833.33

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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.