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Finding the Fourth Proportional to 26,803.80, 36,979.46 and 16,049

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Solution

The fourth proportional to 26,803.80, 36,979.46 and 16,049 is: 22,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,803.80 : 36,979.46 = 16,049 : x
  2. Step 2: Convert to fraction form
    26,803.80/36,979.46 = 16,049/x
  3. Step 3: Cross multiply
    26,803.80x = 36,979.46 × 16,049
  4. Step 4: Simplify right side
    26,803.80x = 593,483,353.54
  5. Step 5: Solve for x
    x = 593,483,353.54/26,803.80
  6. Step 6: Final answer
    x = 22,141.76

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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.