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Finding the Fourth Proportional to 29,797.83, 41,120.85 and 16,185.76

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Solution

The fourth proportional to 29,797.83, 41,120.85 and 16,185.76 is: 22,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797.83 : 41,120.85 = 16,185.76 : x
  2. Step 2: Convert to fraction form
    29,797.83/41,120.85 = 16,185.76/x
  3. Step 3: Cross multiply
    29,797.83x = 41,120.85 × 16,185.76
  4. Step 4: Simplify right side
    29,797.83x = 665,572,473.42
  5. Step 5: Solve for x
    x = 665,572,473.42/29,797.83
  6. Step 6: Final answer
    x = 22,336.27

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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.