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Finding the Fourth Proportional to 15,983.82, 22,057.92 and 8,910

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Solution

The fourth proportional to 15,983.82, 22,057.92 and 8,910 is: 12,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.82 : 22,057.92 = 8,910 : x
  2. Step 2: Convert to fraction form
    15,983.82/22,057.92 = 8,910/x
  3. Step 3: Cross multiply
    15,983.82x = 22,057.92 × 8,910
  4. Step 4: Simplify right side
    15,983.82x = 196,536,067.20
  5. Step 5: Solve for x
    x = 196,536,067.20/15,983.82
  6. Step 6: Final answer
    x = 12,295.94

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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.