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Finding the Fourth Proportional to 17,675.70, 24,391.29 and 10,122.09

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Solution

The fourth proportional to 17,675.70, 24,391.29 and 10,122.09 is: 13,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.70 : 24,391.29 = 10,122.09 : x
  2. Step 2: Convert to fraction form
    17,675.70/24,391.29 = 10,122.09/x
  3. Step 3: Cross multiply
    17,675.70x = 24,391.29 × 10,122.09
  4. Step 4: Simplify right side
    17,675.70x = 246,890,832.60
  5. Step 5: Solve for x
    x = 246,890,832.60/17,675.70
  6. Step 6: Final answer
    x = 13,967.81

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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.