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Finding the Fourth Proportional to 22,314.42, 33,471.16 and 9,157.49

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Solution

The fourth proportional to 22,314.42, 33,471.16 and 9,157.49 is: 13,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.42 : 33,471.16 = 9,157.49 : x
  2. Step 2: Convert to fraction form
    22,314.42/33,471.16 = 9,157.49/x
  3. Step 3: Cross multiply
    22,314.42x = 33,471.16 × 9,157.49
  4. Step 4: Simplify right side
    22,314.42x = 306,511,748.26
  5. Step 5: Solve for x
    x = 306,511,748.26/22,314.42
  6. Step 6: Final answer
    x = 13,736.04

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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.