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Finding the Fourth Proportional to 30,200.16, 41,673.84 and 16,770.12

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Solution

The fourth proportional to 30,200.16, 41,673.84 and 16,770.12 is: 23,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.16 : 41,673.84 = 16,770.12 : x
  2. Step 2: Convert to fraction form
    30,200.16/41,673.84 = 16,770.12/x
  3. Step 3: Cross multiply
    30,200.16x = 41,673.84 × 16,770.12
  4. Step 4: Simplify right side
    30,200.16x = 698,875,297.66
  5. Step 5: Solve for x
    x = 698,875,297.66/30,200.16
  6. Step 6: Final answer
    x = 23,141.44

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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.