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Finding the Fourth Proportional to 17,138.69, 23,651.24 and 9,584.93

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Solution

The fourth proportional to 17,138.69, 23,651.24 and 9,584.93 is: 13,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.69 : 23,651.24 = 9,584.93 : x
  2. Step 2: Convert to fraction form
    17,138.69/23,651.24 = 9,584.93/x
  3. Step 3: Cross multiply
    17,138.69x = 23,651.24 × 9,584.93
  4. Step 4: Simplify right side
    17,138.69x = 226,695,431.89
  5. Step 5: Solve for x
    x = 226,695,431.89/17,138.69
  6. Step 6: Final answer
    x = 13,227.12

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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.