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Finding the Fourth Proportional to 28,244.64, 42,381.81 and 13,450.80

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Solution

The fourth proportional to 28,244.64, 42,381.81 and 13,450.80 is: 20,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,244.64 : 42,381.81 = 13,450.80 : x
  2. Step 2: Convert to fraction form
    28,244.64/42,381.81 = 13,450.80/x
  3. Step 3: Cross multiply
    28,244.64x = 42,381.81 × 13,450.80
  4. Step 4: Simplify right side
    28,244.64x = 570,069,249.95
  5. Step 5: Solve for x
    x = 570,069,249.95/28,244.64
  6. Step 6: Final answer
    x = 20,183.27

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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.