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Finding the Fourth Proportional to 22,314.14, 33,471.17 and 9,157.24

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Solution

The fourth proportional to 22,314.14, 33,471.17 and 9,157.24 is: 13,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.14 : 33,471.17 = 9,157.24 : x
  2. Step 2: Convert to fraction form
    22,314.14/33,471.17 = 9,157.24/x
  3. Step 3: Cross multiply
    22,314.14x = 33,471.17 × 9,157.24
  4. Step 4: Simplify right side
    22,314.14x = 306,503,536.77
  5. Step 5: Solve for x
    x = 306,503,536.77/22,314.14
  6. Step 6: Final answer
    x = 13,735.84

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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.