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Finding the Fourth Proportional to 29,661.74, 40,933.20 and 16,233

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Solution

The fourth proportional to 29,661.74, 40,933.20 and 16,233 is: 22,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,661.74 : 40,933.20 = 16,233 : x
  2. Step 2: Convert to fraction form
    29,661.74/40,933.20 = 16,233/x
  3. Step 3: Cross multiply
    29,661.74x = 40,933.20 × 16,233
  4. Step 4: Simplify right side
    29,661.74x = 664,468,635.60
  5. Step 5: Solve for x
    x = 664,468,635.60/29,661.74
  6. Step 6: Final answer
    x = 22,401.54

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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.