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Finding the Fourth Proportional to 12,206.81, 16,847.63 and 6,901.62

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Solution

The fourth proportional to 12,206.81, 16,847.63 and 6,901.62 is: 9,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.81 : 16,847.63 = 6,901.62 : x
  2. Step 2: Convert to fraction form
    12,206.81/16,847.63 = 6,901.62/x
  3. Step 3: Cross multiply
    12,206.81x = 16,847.63 × 6,901.62
  4. Step 4: Simplify right side
    12,206.81x = 116,275,905.65
  5. Step 5: Solve for x
    x = 116,275,905.65/12,206.81
  6. Step 6: Final answer
    x = 9,525.50

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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.