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Finding the Fourth Proportional to 17,285.99, 23,857.58 and 10,017

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Solution

The fourth proportional to 17,285.99, 23,857.58 and 10,017 is: 13,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,285.99 : 23,857.58 = 10,017 : x
  2. Step 2: Convert to fraction form
    17,285.99/23,857.58 = 10,017/x
  3. Step 3: Cross multiply
    17,285.99x = 23,857.58 × 10,017
  4. Step 4: Simplify right side
    17,285.99x = 238,981,403.90
  5. Step 5: Solve for x
    x = 238,981,403.90/17,285.99
  6. Step 6: Final answer
    x = 13,825.15

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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.