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Finding the Fourth Proportional to 17,103.85, 25,614.09 and 9,685.83

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Solution

The fourth proportional to 17,103.85, 25,614.09 and 9,685.83 is: 14,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,103.85 : 25,614.09 = 9,685.83 : x
  2. Step 2: Convert to fraction form
    17,103.85/25,614.09 = 9,685.83/x
  3. Step 3: Cross multiply
    17,103.85x = 25,614.09 × 9,685.83
  4. Step 4: Simplify right side
    17,103.85x = 248,093,721.34
  5. Step 5: Solve for x
    x = 248,093,721.34/17,103.85
  6. Step 6: Final answer
    x = 14,505.14

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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.