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Finding the Fourth Proportional to 16,563.26, 22,857.87 and 9,491.05

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Solution

The fourth proportional to 16,563.26, 22,857.87 and 9,491.05 is: 13,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.26 : 22,857.87 = 9,491.05 : x
  2. Step 2: Convert to fraction form
    16,563.26/22,857.87 = 9,491.05/x
  3. Step 3: Cross multiply
    16,563.26x = 22,857.87 × 9,491.05
  4. Step 4: Simplify right side
    16,563.26x = 216,945,208.62
  5. Step 5: Solve for x
    x = 216,945,208.62/16,563.26
  6. Step 6: Final answer
    x = 13,097.97

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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.