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Finding the Fourth Proportional to 29,847.92, 41,191.20 and 16,420.19

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Solution

The fourth proportional to 29,847.92, 41,191.20 and 16,420.19 is: 22,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847.92 : 41,191.20 = 16,420.19 : x
  2. Step 2: Convert to fraction form
    29,847.92/41,191.20 = 16,420.19/x
  3. Step 3: Cross multiply
    29,847.92x = 41,191.20 × 16,420.19
  4. Step 4: Simplify right side
    29,847.92x = 676,367,124.37
  5. Step 5: Solve for x
    x = 676,367,124.37/29,847.92
  6. Step 6: Final answer
    x = 22,660.45

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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.