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Finding the Fourth Proportional to 17,105.66, 23,515.19 and 14,706.80

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Solution

The fourth proportional to 17,105.66, 23,515.19 and 14,706.80 is: 20,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,105.66 : 23,515.19 = 14,706.80 : x
  2. Step 2: Convert to fraction form
    17,105.66/23,515.19 = 14,706.80/x
  3. Step 3: Cross multiply
    17,105.66x = 23,515.19 × 14,706.80
  4. Step 4: Simplify right side
    17,105.66x = 345,833,115.48
  5. Step 5: Solve for x
    x = 345,833,115.48/17,105.66
  6. Step 6: Final answer
    x = 20,217.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.