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Finding the Fourth Proportional to 12,206.80, 16,847.18 and 7,730.96

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Solution

The fourth proportional to 12,206.80, 16,847.18 and 7,730.96 is: 10,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.80 : 16,847.18 = 7,730.96 : x
  2. Step 2: Convert to fraction form
    12,206.80/16,847.18 = 7,730.96/x
  3. Step 3: Cross multiply
    12,206.80x = 16,847.18 × 7,730.96
  4. Step 4: Simplify right side
    12,206.80x = 130,244,878.16
  5. Step 5: Solve for x
    x = 130,244,878.16/12,206.80
  6. Step 6: Final answer
    x = 10,669.86

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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.