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Finding the Fourth Proportional to 16,331.96, 22,538.09 and 9,958.55

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Solution

The fourth proportional to 16,331.96, 22,538.09 and 9,958.55 is: 13,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331.96 : 22,538.09 = 9,958.55 : x
  2. Step 2: Convert to fraction form
    16,331.96/22,538.09 = 9,958.55/x
  3. Step 3: Cross multiply
    16,331.96x = 22,538.09 × 9,958.55
  4. Step 4: Simplify right side
    16,331.96x = 224,446,533.69
  5. Step 5: Solve for x
    x = 224,446,533.69/16,331.96
  6. Step 6: Final answer
    x = 13,742.78

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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.