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Finding the Fourth Proportional to 29,847.75, 41,189.21 and 16,418.88

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Solution

The fourth proportional to 29,847.75, 41,189.21 and 16,418.88 is: 22,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847.75 : 41,189.21 = 16,418.88 : x
  2. Step 2: Convert to fraction form
    29,847.75/41,189.21 = 16,418.88/x
  3. Step 3: Cross multiply
    29,847.75x = 41,189.21 × 16,418.88
  4. Step 4: Simplify right side
    29,847.75x = 676,280,614.19
  5. Step 5: Solve for x
    x = 676,280,614.19/29,847.75
  6. Step 6: Final answer
    x = 22,657.67

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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.