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Finding the Fourth Proportional to 16,514.74, 22,791.46 and 9,344.65

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Solution

The fourth proportional to 16,514.74, 22,791.46 and 9,344.65 is: 12,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.74 : 22,791.46 = 9,344.65 : x
  2. Step 2: Convert to fraction form
    16,514.74/22,791.46 = 9,344.65/x
  3. Step 3: Cross multiply
    16,514.74x = 22,791.46 × 9,344.65
  4. Step 4: Simplify right side
    16,514.74x = 212,978,136.35
  5. Step 5: Solve for x
    x = 212,978,136.35/16,514.74
  6. Step 6: Final answer
    x = 12,896.25

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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.