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Finding the Fourth Proportional to 13,732.26, 18,953.91 and 9,022.92

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Solution

The fourth proportional to 13,732.26, 18,953.91 and 9,022.92 is: 12,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.26 : 18,953.91 = 9,022.92 : x
  2. Step 2: Convert to fraction form
    13,732.26/18,953.91 = 9,022.92/x
  3. Step 3: Cross multiply
    13,732.26x = 18,953.91 × 9,022.92
  4. Step 4: Simplify right side
    13,732.26x = 171,019,613.62
  5. Step 5: Solve for x
    x = 171,019,613.62/13,732.26
  6. Step 6: Final answer
    x = 12,453.86

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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.