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Finding the Fourth Proportional to 22,767.36, 34,165.44 and 8,916

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Solution

The fourth proportional to 22,767.36, 34,165.44 and 8,916 is: 13,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767.36 : 34,165.44 = 8,916 : x
  2. Step 2: Convert to fraction form
    22,767.36/34,165.44 = 8,916/x
  3. Step 3: Cross multiply
    22,767.36x = 34,165.44 × 8,916
  4. Step 4: Simplify right side
    22,767.36x = 304,619,063.04
  5. Step 5: Solve for x
    x = 304,619,063.04/22,767.36
  6. Step 6: Final answer
    x = 13,379.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.