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Finding the Fourth Proportional to 16,069.70, 22,177.41 and 9,264.83

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Solution

The fourth proportional to 16,069.70, 22,177.41 and 9,264.83 is: 12,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.70 : 22,177.41 = 9,264.83 : x
  2. Step 2: Convert to fraction form
    16,069.70/22,177.41 = 9,264.83/x
  3. Step 3: Cross multiply
    16,069.70x = 22,177.41 × 9,264.83
  4. Step 4: Simplify right side
    16,069.70x = 205,469,839.97
  5. Step 5: Solve for x
    x = 205,469,839.97/16,069.70
  6. Step 6: Final answer
    x = 12,786.17

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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.