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Finding the Fourth Proportional to 29,847.86, 41,189.81 and 16,418.82

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Solution

The fourth proportional to 29,847.86, 41,189.81 and 16,418.82 is: 22,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847.86 : 41,189.81 = 16,418.82 : x
  2. Step 2: Convert to fraction form
    29,847.86/41,189.81 = 16,418.82/x
  3. Step 3: Cross multiply
    29,847.86x = 41,189.81 × 16,418.82
  4. Step 4: Simplify right side
    29,847.86x = 676,288,117.27
  5. Step 5: Solve for x
    x = 676,288,117.27/29,847.86
  6. Step 6: Final answer
    x = 22,657.85

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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.