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Finding the Fourth Proportional to 20,964.02, 31,451.49 and 7,816.50

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Solution

The fourth proportional to 20,964.02, 31,451.49 and 7,816.50 is: 11,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964.02 : 31,451.49 = 7,816.50 : x
  2. Step 2: Convert to fraction form
    20,964.02/31,451.49 = 7,816.50/x
  3. Step 3: Cross multiply
    20,964.02x = 31,451.49 × 7,816.50
  4. Step 4: Simplify right side
    20,964.02x = 245,840,571.59
  5. Step 5: Solve for x
    x = 245,840,571.59/20,964.02
  6. Step 6: Final answer
    x = 11,726.79

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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.