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Finding the Fourth Proportional to 16,281.77, 22,469.27 and 9,206.82

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Solution

The fourth proportional to 16,281.77, 22,469.27 and 9,206.82 is: 12,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.77 : 22,469.27 = 9,206.82 : x
  2. Step 2: Convert to fraction form
    16,281.77/22,469.27 = 9,206.82/x
  3. Step 3: Cross multiply
    16,281.77x = 22,469.27 × 9,206.82
  4. Step 4: Simplify right side
    16,281.77x = 206,870,478.39
  5. Step 5: Solve for x
    x = 206,870,478.39/16,281.77
  6. Step 6: Final answer
    x = 12,705.65

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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.