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Finding the Fourth Proportional to 17,147.46, 25,704.14 and 9,736.57

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Solution

The fourth proportional to 17,147.46, 25,704.14 and 9,736.57 is: 14,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147.46 : 25,704.14 = 9,736.57 : x
  2. Step 2: Convert to fraction form
    17,147.46/25,704.14 = 9,736.57/x
  3. Step 3: Cross multiply
    17,147.46x = 25,704.14 × 9,736.57
  4. Step 4: Simplify right side
    17,147.46x = 250,270,118.48
  5. Step 5: Solve for x
    x = 250,270,118.48/17,147.46
  6. Step 6: Final answer
    x = 14,595.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.