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Finding the Fourth Proportional to 16,284.67, 22,473.92 and 9,115.26

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Solution

The fourth proportional to 16,284.67, 22,473.92 and 9,115.26 is: 12,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.67 : 22,473.92 = 9,115.26 : x
  2. Step 2: Convert to fraction form
    16,284.67/22,473.92 = 9,115.26/x
  3. Step 3: Cross multiply
    16,284.67x = 22,473.92 × 9,115.26
  4. Step 4: Simplify right side
    16,284.67x = 204,855,624.02
  5. Step 5: Solve for x
    x = 204,855,624.02/16,284.67
  6. Step 6: Final answer
    x = 12,579.66

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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.