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Finding the Fourth Proportional to 12,057.28, 18,086.16 and 7,923.64

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Solution

The fourth proportional to 12,057.28, 18,086.16 and 7,923.64 is: 11,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.28 : 18,086.16 = 7,923.64 : x
  2. Step 2: Convert to fraction form
    12,057.28/18,086.16 = 7,923.64/x
  3. Step 3: Cross multiply
    12,057.28x = 18,086.16 × 7,923.64
  4. Step 4: Simplify right side
    12,057.28x = 143,308,220.82
  5. Step 5: Solve for x
    x = 143,308,220.82/12,057.28
  6. Step 6: Final answer
    x = 11,885.62

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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.