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Finding the Fourth Proportional to 30,170.76, 41,636.60 and 16,743

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Solution

The fourth proportional to 30,170.76, 41,636.60 and 16,743 is: 23,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,170.76 : 41,636.60 = 16,743 : x
  2. Step 2: Convert to fraction form
    30,170.76/41,636.60 = 16,743/x
  3. Step 3: Cross multiply
    30,170.76x = 41,636.60 × 16,743
  4. Step 4: Simplify right side
    30,170.76x = 697,121,593.80
  5. Step 5: Solve for x
    x = 697,121,593.80/30,170.76
  6. Step 6: Final answer
    x = 23,105.87

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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.