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Finding the Fourth Proportional to 30,229.12, 41,716 and 16,800.16

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Solution

The fourth proportional to 30,229.12, 41,716 and 16,800.16 is: 23,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229.12 : 41,716 = 16,800.16 : x
  2. Step 2: Convert to fraction form
    30,229.12/41,716 = 16,800.16/x
  3. Step 3: Cross multiply
    30,229.12x = 41,716 × 16,800.16
  4. Step 4: Simplify right side
    30,229.12x = 700,835,474.56
  5. Step 5: Solve for x
    x = 700,835,474.56/30,229.12
  6. Step 6: Final answer
    x = 23,184.12

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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.