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Finding the Fourth Proportional to 29,647.12, 40,914.12 and 16,217.56

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Solution

The fourth proportional to 29,647.12, 40,914.12 and 16,217.56 is: 22,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.12 : 40,914.12 = 16,217.56 : x
  2. Step 2: Convert to fraction form
    29,647.12/40,914.12 = 16,217.56/x
  3. Step 3: Cross multiply
    29,647.12x = 40,914.12 × 16,217.56
  4. Step 4: Simplify right side
    29,647.12x = 663,527,195.95
  5. Step 5: Solve for x
    x = 663,527,195.95/29,647.12
  6. Step 6: Final answer
    x = 22,380.83

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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.