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Finding the Fourth Proportional to 20,800.94, 31,168.60 and 11,426.92

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Solution

The fourth proportional to 20,800.94, 31,168.60 and 11,426.92 is: 17,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.94 : 31,168.60 = 11,426.92 : x
  2. Step 2: Convert to fraction form
    20,800.94/31,168.60 = 11,426.92/x
  3. Step 3: Cross multiply
    20,800.94x = 31,168.60 × 11,426.92
  4. Step 4: Simplify right side
    20,800.94x = 356,161,098.71
  5. Step 5: Solve for x
    x = 356,161,098.71/20,800.94
  6. Step 6: Final answer
    x = 17,122.36

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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.