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Finding the Fourth Proportional to 30,169.18, 41,634.12 and 16,740

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Solution

The fourth proportional to 30,169.18, 41,634.12 and 16,740 is: 23,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.18 : 41,634.12 = 16,740 : x
  2. Step 2: Convert to fraction form
    30,169.18/41,634.12 = 16,740/x
  3. Step 3: Cross multiply
    30,169.18x = 41,634.12 × 16,740
  4. Step 4: Simplify right side
    30,169.18x = 696,955,168.80
  5. Step 5: Solve for x
    x = 696,955,168.80/30,169.18
  6. Step 6: Final answer
    x = 23,101.56

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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.