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Finding the Fourth Proportional to 17,092.73, 23,582.46 and 9,537.86

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Solution

The fourth proportional to 17,092.73, 23,582.46 and 9,537.86 is: 13,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,092.73 : 23,582.46 = 9,537.86 : x
  2. Step 2: Convert to fraction form
    17,092.73/23,582.46 = 9,537.86/x
  3. Step 3: Cross multiply
    17,092.73x = 23,582.46 × 9,537.86
  4. Step 4: Simplify right side
    17,092.73x = 224,926,201.94
  5. Step 5: Solve for x
    x = 224,926,201.94/17,092.73
  6. Step 6: Final answer
    x = 13,159.17

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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.