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Finding the Fourth Proportional to 22,057.56, 30,431.42 and 14,507.96

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Solution

The fourth proportional to 22,057.56, 30,431.42 and 14,507.96 is: 20,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.56 : 30,431.42 = 14,507.96 : x
  2. Step 2: Convert to fraction form
    22,057.56/30,431.42 = 14,507.96/x
  3. Step 3: Cross multiply
    22,057.56x = 30,431.42 × 14,507.96
  4. Step 4: Simplify right side
    22,057.56x = 441,497,824.10
  5. Step 5: Solve for x
    x = 441,497,824.10/22,057.56
  6. Step 6: Final answer
    x = 20,015.71

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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.