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Finding the Fourth Proportional to 17,469.76, 24,111.24 and 10,396.48

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Solution

The fourth proportional to 17,469.76, 24,111.24 and 10,396.48 is: 14,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.76 : 24,111.24 = 10,396.48 : x
  2. Step 2: Convert to fraction form
    17,469.76/24,111.24 = 10,396.48/x
  3. Step 3: Cross multiply
    17,469.76x = 24,111.24 × 10,396.48
  4. Step 4: Simplify right side
    17,469.76x = 250,672,024.44
  5. Step 5: Solve for x
    x = 250,672,024.44/17,469.76
  6. Step 6: Final answer
    x = 14,348.91

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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.