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Finding the Fourth Proportional to 17,084.72, 23,578.97 and 10,011.14

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Solution

The fourth proportional to 17,084.72, 23,578.97 and 10,011.14 is: 13,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.72 : 23,578.97 = 10,011.14 : x
  2. Step 2: Convert to fraction form
    17,084.72/23,578.97 = 10,011.14/x
  3. Step 3: Cross multiply
    17,084.72x = 23,578.97 × 10,011.14
  4. Step 4: Simplify right side
    17,084.72x = 236,052,290.20
  5. Step 5: Solve for x
    x = 236,052,290.20/17,084.72
  6. Step 6: Final answer
    x = 13,816.57

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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.