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Finding the Fourth Proportional to 22,057.68, 30,440.14 and 11,986

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Solution

The fourth proportional to 22,057.68, 30,440.14 and 11,986 is: 16,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.68 : 30,440.14 = 11,986 : x
  2. Step 2: Convert to fraction form
    22,057.68/30,440.14 = 11,986/x
  3. Step 3: Cross multiply
    22,057.68x = 30,440.14 × 11,986
  4. Step 4: Simplify right side
    22,057.68x = 364,855,518.04
  5. Step 5: Solve for x
    x = 364,855,518.04/22,057.68
  6. Step 6: Final answer
    x = 16,540.97

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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.