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Finding the Fourth Proportional to 16,206.80, 22,365.76 and 9,133.44

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Solution

The fourth proportional to 16,206.80, 22,365.76 and 9,133.44 is: 12,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.80 : 22,365.76 = 9,133.44 : x
  2. Step 2: Convert to fraction form
    16,206.80/22,365.76 = 9,133.44/x
  3. Step 3: Cross multiply
    16,206.80x = 22,365.76 × 9,133.44
  4. Step 4: Simplify right side
    16,206.80x = 204,276,327.01
  5. Step 5: Solve for x
    x = 204,276,327.01/16,206.80
  6. Step 6: Final answer
    x = 12,604.36

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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.