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Finding the Fourth Proportional to 22,183.88, 33,274.56 and 13,416.44

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Solution

The fourth proportional to 22,183.88, 33,274.56 and 13,416.44 is: 20,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,183.88 : 33,274.56 = 13,416.44 : x
  2. Step 2: Convert to fraction form
    22,183.88/33,274.56 = 13,416.44/x
  3. Step 3: Cross multiply
    22,183.88x = 33,274.56 × 13,416.44
  4. Step 4: Simplify right side
    22,183.88x = 446,426,137.77
  5. Step 5: Solve for x
    x = 446,426,137.77/22,183.88
  6. Step 6: Final answer
    x = 20,123.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.