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Finding the Fourth Proportional to 16,206.67, 22,364.91 and 9,133.09

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Solution

The fourth proportional to 16,206.67, 22,364.91 and 9,133.09 is: 12,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.67 : 22,364.91 = 9,133.09 : x
  2. Step 2: Convert to fraction form
    16,206.67/22,364.91 = 9,133.09/x
  3. Step 3: Cross multiply
    16,206.67x = 22,364.91 × 9,133.09
  4. Step 4: Simplify right side
    16,206.67x = 204,260,735.87
  5. Step 5: Solve for x
    x = 204,260,735.87/16,206.67
  6. Step 6: Final answer
    x = 12,603.50

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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.