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Finding the Fourth Proportional to 17,206.50, 23,791.71 and 14,992.14

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Solution

The fourth proportional to 17,206.50, 23,791.71 and 14,992.14 is: 20,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.50 : 23,791.71 = 14,992.14 : x
  2. Step 2: Convert to fraction form
    17,206.50/23,791.71 = 14,992.14/x
  3. Step 3: Cross multiply
    17,206.50x = 23,791.71 × 14,992.14
  4. Step 4: Simplify right side
    17,206.50x = 356,688,647.16
  5. Step 5: Solve for x
    x = 356,688,647.16/17,206.50
  6. Step 6: Final answer
    x = 20,729.88

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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.